100102313103210 has 48 divisors (see below), whose sum is σ = 283926560804640. Its totient is φ = 24267227418720.

The previous prime is 100102313103071. The next prime is 100102313103259. The reversal of 100102313103210 is 12301313201001.

100102313103210 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 2 + 31 + 310 + 321 + 0 = 666.

It is a super-2 number, since 2×100102313103210² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50556722800 + ... + 50556724779.

It is an arithmetic number, because the mean of its divisors is an integer number (5915136683430).

Almost surely, 2^{100102313103210} is an apocalyptic number.

100102313103210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100102313103210 is an abundant number, since it is smaller than the sum of its proper divisors (183824247701430).

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

100102313103210 is a wasteful number, since it uses less digits than its factorization.

100102313103210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101113447603 (or 101113447600 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100102313103210 its reverse (12301313201001), we get a palindrome (112403626304211).

The spelling of 100102313103210 in words is "one hundred trillion, one hundred two billion, three hundred thirteen million, one hundred three thousand, two hundred ten".