101102100 has 72 divisors (see below), whose sum is σ = 319125408. Its totient is φ = 24508800.

The previous prime is 101102087. The next prime is 101102101. The reversal of 101102100 is 1201101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12019 + ... + 18618.

Almost surely, 2^101102100 is an apocalyptic number.

101102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102100 is an abundant number, since it is smaller than the sum of its proper divisors (218023308).

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

101102100 is a wasteful number, since it uses less digits than its factorization.

101102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30665 (or 30658 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 101102100 is about 10054.9540028784. The cubic root of 101102100 is about 465.8578222460.

Adding to 101102100 its reverse (1201101), we get a palindrome (102303201).

Subtracting from 101102100 its reverse (1201101), we obtain a palindrome (99900999).

It can be divided in two parts, 101 and 102100, that added together give a palindrome (102201).

The spelling of 101102100 in words is "one hundred one million, one hundred two thousand, one hundred".