101210112 has 216 divisors, whose sum is σ = 326862900. Its totient is φ = 30081024.

The previous prime is 101210107. The next prime is 101210113. The reversal of 101210112 is 211012101.

It is a happy number.

It is a super-3 number, since 3×101210112³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101210094 and 101210103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210113) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5326839 + ... + 5326857.

Almost surely, 2^101210112 is an apocalyptic number.

101210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163431450).

101210112 is an abundant number, since it is smaller than the sum of its proper divisors (225652788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101210112 is a wasteful number, since it uses less digits than its factorization.

101210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 101210112 is about 10060.3236528454. The cubic root of 101210112 is about 466.0236622785.

Adding to 101210112 its reverse (211012101), we get a palindrome (312222213).

The spelling of 101210112 in words is "one hundred one million, two hundred ten thousand, one hundred twelve".