102110202100 has 36 divisors (see below), whose sum is σ = 223773013548. Its totient is φ = 40439680000.

The previous prime is 102110202071. The next prime is 102110202101. The reversal of 102110202100 is 1202011201.

It can be written as a sum of positive squares in 6 ways, for example, as 60621796 + 102049580304 = 7786^2 + 319452^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110202101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5044861 + ... + 5065060.

It is an arithmetic number, because the mean of its divisors is an integer number (6215917043).

Almost surely, 2^102110202100 is an apocalyptic number.

102110202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102110202100 is an abundant number, since it is smaller than the sum of its proper divisors (121662811448).

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

102110202100 is a wasteful number, since it uses less digits than its factorization.

102110202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110036 (or 10110029 counting only the distinct ones).

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

Adding to 102110202100 its reverse (1202011201), we get a palindrome (103312213301).

The spelling of 102110202100 in words is "one hundred two billion, one hundred ten million, two hundred two thousand, one hundred".