102102200110000 has 100 divisors (see below), whose sum is σ = 252948466511752. Its totient is φ = 39891091968000.

The previous prime is 102102200109979. The next prime is 102102200110013. The reversal of 102102200110000 is 11002201201.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118293489 + ... + 119153488.

Almost surely, 2^{102102200110000} is an apocalyptic number.

102102200110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102200110000 is an abundant number, since it is smaller than the sum of its proper divisors (150846266401752).

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

102102200110000 is an equidigital number, since it uses as much as digits as its factorization.

102102200110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237447048 (or 237447027 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102102200110000 its reverse (11002201201), we get a palindrome (102113202311201).

The spelling of 102102200110000 in words is "one hundred two trillion, one hundred two billion, two hundred million, one hundred ten thousand".