102101022121110 has 64 divisors (see below), whose sum is σ = 246935196829440. Its totient is φ = 27016840483200.

The previous prime is 102101022121099. The next prime is 102101022121169. The reversal of 102101022121110 is 11121220101201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102101022121110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1487229 + ... + 14367111.

It is an arithmetic number, because the mean of its divisors is an integer number (3858362450460).

Almost surely, 2^{102101022121110} is an apocalyptic number.

102101022121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102101022121110 is an abundant number, since it is smaller than the sum of its proper divisors (144834174708330).

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

102101022121110 is a wasteful number, since it uses less digits than its factorization.

102101022121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12881933.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102101022121110 its reverse (11121220101201), we get a palindrome (113222242222311).

The spelling of 102101022121110 in words is "one hundred two trillion, one hundred one billion, twenty-two million, one hundred twenty-one thousand, one hundred ten".