101012120 has 64 divisors (see below), whose sum is σ = 250503840. Its totient is φ = 36352000.

The previous prime is 101012089. The next prime is 101012137. The reversal of 101012120 is 21210101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 101012098 and 101012107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43304 + ... + 45576.

Almost surely, 2^101012120 is an apocalyptic number.

101012120 is a gapful number since it is divisible by the number (10) 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 101012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125251920).

101012120 is an abundant number, since it is smaller than the sum of its proper divisors (149491720).

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

101012120 is a wasteful number, since it uses less digits than its factorization.

101012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 101012120 is about 10050.4785955695. The cubic root of 101012120 is about 465.7195780733.

Adding to 101012120 its reverse (21210101), we get a palindrome (122222221).

It can be divided in two parts, 10101 and 2120, that added together give a palindrome (12221).

The spelling of 101012120 in words is "one hundred one million, twelve thousand, one hundred twenty".