102100201120 has 48 divisors (see below), whose sum is σ = 241605451080. Its totient is φ = 40773417984.

The previous prime is 102100201103. The next prime is 102100201193. The reversal of 102100201120 is 21102001201.

It can be written as a sum of positive squares in 4 ways, for example, as 31231372176 + 70868828944 = 176724^2 + 266212^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102100201097 and 102100201106.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 422415 + ... + 618574.

Almost surely, 2^102100201120 is an apocalyptic number.

102100201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100201120 is an abundant number, since it is smaller than the sum of its proper divisors (139505249960).

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

102100201120 is a wasteful number, since it uses less digits than its factorization.

102100201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041617 (or 1041609 counting only the distinct ones).

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

Adding to 102100201120 its reverse (21102001201), we get a palindrome (123202202321).

The spelling of 102100201120 in words is "one hundred two billion, one hundred million, two hundred one thousand, one hundred twenty".