102111011222120 has 16 divisors (see below), whose sum is σ = 229749775249860. Its totient is φ = 40844404488832.

The previous prime is 102111011222083. The next prime is 102111011222177. The reversal of 102111011222120 is 21222110111201.

It can be written as a sum of positive squares in 2 ways, for example, as 98700688171684 + 3410323050436 = 9934822^2 + 1846706^2 .

It is a super-2 number, since 2×102111011222120² (a number of 29 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 1276387640237 + ... + 1276387640316.

Almost surely, 2^{102111011222120} is an apocalyptic number.

102111011222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111011222120 is an abundant number, since it is smaller than the sum of its proper divisors (127638764027740).

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

102111011222120 is a wasteful number, since it uses less digits than its factorization.

102111011222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552775280564 (or 2552775280560 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102111011222120 its reverse (21222110111201), we get a palindrome (123333121333321).

The spelling of 102111011222120 in words is "one hundred two trillion, one hundred eleven billion, eleven million, two hundred twenty-two thousand, one hundred twenty".