102011321011110 has 1024 divisors, whose sum is σ = 324488374272000. Its totient is φ = 19976567390208.

The previous prime is 102011321010979. The next prime is 102011321011123. The reversal of 102011321011110 is 11110123110201.

It is a super-2 number, since 2×102011321011110² (a number of 29 digits) contains 22 as substring.

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 102011321011110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 65856242616 + ... + 65856244164.

It is an arithmetic number, because the mean of its divisors is an integer number (316883178000).

Almost surely, 2^{102011321011110} is an apocalyptic number.

102011321011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102011321011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162244187136000).

102011321011110 is an abundant number, since it is smaller than the sum of its proper divisors (222477053260890).

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

102011321011110 is a wasteful number, since it uses less digits than its factorization.

102011321011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 102011321011110 its reverse (11110123110201), we get a palindrome (113121444121311).

The spelling of 102011321011110 in words is "one hundred two trillion, eleven billion, three hundred twenty-one million, eleven thousand, one hundred ten".