102101100 has 36 divisors (see below), whose sum is σ = 295413384. Its totient is φ = 27226880.

The previous prime is 102101059. The next prime is 102101107. The reversal of 102101100 is 1101201.

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 not an unprimeable number, because it can be changed into a prime (102101107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169869 + ... + 170468.

Almost surely, 2^102101100 is an apocalyptic number.

102101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101100 is an abundant number, since it is smaller than the sum of its proper divisors (193312284).

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

102101100 is a wasteful number, since it uses less digits than its factorization.

102101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340354 (or 340347 counting only the distinct ones).

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

The square root of 102101100 is about 10104.5088945480. The cubic root of 102101100 is about 467.3871919375.

Adding to 102101100 its reverse (1101201), we get a palindrome (103202301).

It can be divided in two parts, 102101 and 100, that added together give a palindrome (102201).

The spelling of 102101100 in words is "one hundred two million, one hundred one thousand, one hundred".