102212122101100 has 72 divisors (see below), whose sum is σ = 241967163110400. Its totient is φ = 37167553761600.

The previous prime is 102212122101059. The next prime is 102212122101113. The reversal of 102212122101100 is 1101221212201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88658161 + ... + 89803639.

It is an arithmetic number, because the mean of its divisors is an integer number (3360655043200).

Almost surely, 2^{102212122101100} is an apocalyptic number.

102212122101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212122101100 is an abundant number, since it is smaller than the sum of its proper divisors (139755041009300).

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

102212122101100 is a wasteful number, since it uses less digits than its factorization.

102212122101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226623 (or 1226616 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102212122101100 its reverse (1101221212201), we get a palindrome (103313343313301).

The spelling of 102212122101100 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-two million, one hundred one thousand, one hundred".