102212110011100 has 18 divisors (see below), whose sum is σ = 221800278724304. Its totient is φ = 40884844004400.

The previous prime is 102212110011097. The next prime is 102212110011103. The reversal of 102212110011100 is 1110011212201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102212110011097) and next prime (102212110011103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212110011103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 511060549956 + ... + 511060550155.

Almost surely, 2^{102212110011100} is an apocalyptic number.

102212110011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212110011100 is an abundant number, since it is smaller than the sum of its proper divisors (119588168713204).

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

102212110011100 is a wasteful number, since it uses less digits than its factorization.

102212110011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022121100125 (or 1022121100118 counting only the distinct ones).

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

Adding to 102212110011100 its reverse (1110011212201), we get a palindrome (103322121223301).

The spelling of 102212110011100 in words is "one hundred two trillion, two hundred twelve billion, one hundred ten million, eleven thousand, one hundred".