102112111202020 has 24 divisors (see below), whose sum is σ = 214435928053368. Its totient is φ = 40844750284800.

The previous prime is 102112111202011. The next prime is 102112111202027. The reversal of 102112111202020 is 20202111211201.

It can be written as a sum of positive squares in 4 ways, for example, as 21448828538944 + 80663282663076 = 4631288^2 + 8981274^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102112111201985 and 102112111202003.

It is not an unprimeable number, because it can be changed into a prime (102112111202027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3355810 + ... + 14679430.

It is an arithmetic number, because the mean of its divisors is an integer number (8934830335557).

Almost surely, 2^{102112111202020} is an apocalyptic number.

102112111202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112111202020 is an abundant number, since it is smaller than the sum of its proper divisors (112323816851348).

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

102112111202020 is a wasteful number, since it uses less digits than its factorization.

102112111202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11774511 (or 11774509 counting only the distinct ones).

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

Adding to 102112111202020 its reverse (20202111211201), we get a palindrome (122314222413221).

The spelling of 102112111202020 in words is "one hundred two trillion, one hundred twelve billion, one hundred eleven million, two hundred two thousand, twenty".