102111020000010 has 128 divisors (see below), whose sum is σ = 311198288486400. Its totient is φ = 23339451792960.

The previous prime is 102111019999973. The next prime is 102111020000053. The reversal of 102111020000010 is 10000020111201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102111019999947 and 102111020000001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325337055 + ... + 325650765.

It is an arithmetic number, because the mean of its divisors is an integer number (2431236628800).

Almost surely, 2^{102111020000010} is an apocalyptic number.

102111020000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102111020000010 is an abundant number, since it is smaller than the sum of its proper divisors (209087268486390).

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

102111020000010 is a wasteful number, since it uses less digits than its factorization.

102111020000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485953 (or 485947 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102111020000010 its reverse (10000020111201), we get a palindrome (112111040111211).

The spelling of 102111020000010 in words is "one hundred two trillion, one hundred eleven billion, twenty million, ten", and thus it is an aban number.