102011122022010 has 128 divisors (see below), whose sum is σ = 259296617318400. Its totient is φ = 25630652610816.

The previous prime is 102011122022003. The next prime is 102011122022041. The reversal of 102011122022010 is 10220221110201.

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

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, 1357413916 + ... + 1357489064.

It is an arithmetic number, because the mean of its divisors is an integer number (2025754822800).

Almost surely, 2^{102011122022010} is an apocalyptic number.

102011122022010 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 102011122022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129648308659200).

102011122022010 is an abundant number, since it is smaller than the sum of its proper divisors (157285495296390).

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

102011122022010 is a wasteful number, since it uses less digits than its factorization.

102011122022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104612.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102011122022010 its reverse (10220221110201), we get a palindrome (112231343132211).

The spelling of 102011122022010 in words is "one hundred two trillion, eleven billion, one hundred twenty-two million, twenty-two thousand, ten".