100201122110110 has 48 divisors (see below), whose sum is σ = 210020595500160. Its totient is φ = 34320003600960.

The previous prime is 100201122110077. The next prime is 100201122110171. The reversal of 100201122110110 is 11011221102001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102689025 + ... + 103660204.

It is an arithmetic number, because the mean of its divisors is an integer number (4375429072920).

Almost surely, 2^{100201122110110} is an apocalyptic number.

100201122110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201122110110 is an abundant number, since it is smaller than the sum of its proper divisors (109819473390050).

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

100201122110110 is a wasteful number, since it uses less digits than its factorization.

100201122110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206350241 (or 206350234 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100201122110110 its reverse (11011221102001), we get a palindrome (111212343212111).

The spelling of 100201122110110 in words is "one hundred trillion, two hundred one billion, one hundred twenty-two million, one hundred ten thousand, one hundred ten".