102202101100 has 72 divisors (see below), whose sum is σ = 256172072688. Its totient is φ = 34978252800.

The previous prime is 102202101077. The next prime is 102202101119. The reversal of 102202101100 is 1101202201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2713977 + ... + 2751376.

It is an arithmetic number, because the mean of its divisors is an integer number (3557945454).

Almost surely, 2^102202101100 is an apocalyptic number.

102202101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202101100 is an abundant number, since it is smaller than the sum of its proper divisors (153969971588).

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

102202101100 is a wasteful number, since it uses less digits than its factorization.

102202101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465395 (or 5465388 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102202101100 its reverse (1101202201), we get a palindrome (103303303301).

It can be divided in two parts, 102202101 and 100, that added together give a palindrome (102202201).

The spelling of 102202101100 in words is "one hundred two billion, two hundred two million, one hundred one thousand, one hundred".