102212120212100 has 36 divisors (see below), whose sum is σ = 224292439091700. Its totient is φ = 40425467765760.

The previous prime is 102212120212093. The next prime is 102212120212117. The reversal of 102212120212100 is 1212021212201.

It can be written as a sum of positive squares in 6 ways, for example, as 3430148468356 + 98781971743744 = 1852066^2 + 9938912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5742245045 + ... + 5742262844.

It is an arithmetic number, because the mean of its divisors is an integer number (6230345530325).

Almost surely, 2^{102212120212100} is an apocalyptic number.

102212120212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212120212100 is an abundant number, since it is smaller than the sum of its proper divisors (122080318879600).

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

102212120212100 is a wasteful number, since it uses less digits than its factorization.

102212120212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11484507992 (or 11484507985 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102212120212100 its reverse (1212021212201), we get a palindrome (103424141424301).

The spelling of 102212120212100 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty million, two hundred twelve thousand, one hundred".