101101122110010 has 128 divisors (see below), whose sum is σ = 274546843054848. Its totient is φ = 23610839040000.

The previous prime is 101101122109979. The next prime is 101101122110011. The reversal of 101101122110010 is 10011221101101.

It is not an unprimeable number, because it can be changed into a prime (101101122110011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39757831 + ... + 42224250.

It is an arithmetic number, because the mean of its divisors is an integer number (2144897211366).

Almost surely, 2^{101101122110010} is an apocalyptic number.

101101122110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101122110010 is an abundant number, since it is smaller than the sum of its proper divisors (173445720944838).

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

101101122110010 is a wasteful number, since it uses less digits than its factorization.

101101122110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81982240.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101101122110010 its reverse (10011221101101), we get a palindrome (111112343211111).

The spelling of 101101122110010 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-two million, one hundred ten thousand, ten".