102111221010100 has 18 divisors (see below), whose sum is σ = 221581349592134. Its totient is φ = 40844488404000.

The previous prime is 102111221010091. The next prime is 102111221010121. The reversal of 102111221010100 is 1010122111201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 349408667664 + 101761812342436 = 591108^2 + 10087706^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510556104951 + ... + 510556105150.

Almost surely, 2^{102111221010100} is an apocalyptic number.

102111221010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111221010100 is an abundant number, since it is smaller than the sum of its proper divisors (119470128582034).

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

102111221010100 is a wasteful number, since it uses less digits than its factorization.

102111221010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021112210115 (or 1021112210108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102111221010100 its reverse (1010122111201), we get a palindrome (103121343121301).

The spelling of 102111221010100 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty-one million, ten thousand, one hundred".