102101221222100 has 36 divisors (see below), whose sum is σ = 221562528236448. Its totient is φ = 40839957948000.

The previous prime is 102101221222079. The next prime is 102101221222127. The reversal of 102101221222100 is 1222122101201.

It is a super-4 number, since 4×102101221222100⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1150055 + ... + 14336145.

Almost surely, 2^{102101221222100} is an apocalyptic number.

102101221222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101221222100 is an abundant number, since it is smaller than the sum of its proper divisors (119461307014348).

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

102101221222100 is a wasteful number, since it uses less digits than its factorization.

102101221222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13263536 (or 13263529 counting only the distinct ones).

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

Adding to 102101221222100 its reverse (1222122101201), we get a palindrome (103323343323301).

The spelling of 102101221222100 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred".