101222100 has 108 divisors (see below), whose sum is σ = 362622624. Its totient is φ = 23135040.

The previous prime is 101222083. The next prime is 101222113. The reversal of 101222100 is 1222101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1734 + ... + 14333.

Almost surely, 2^101222100 is an apocalyptic number.

101222100 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 101222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181311312).

101222100 is an abundant number, since it is smaller than the sum of its proper divisors (261400524).

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

101222100 is a wasteful number, since it uses less digits than its factorization.

101222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16094 (or 16084 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101222100 is about 10060.9194410849. The cubic root of 101222100 is about 466.0420612013.

Adding to 101222100 its reverse (1222101), we get a palindrome (102444201).

Subtracting from 101222100 its reverse (1222101), we obtain a palindrome (99999999).

The spelling of 101222100 in words is "one hundred one million, two hundred twenty-two thousand, one hundred".