101001220331120 has 80 divisors (see below), whose sum is σ = 240562196596512. Its totient is φ = 39413987819520.

The previous prime is 101001220331113. The next prime is 101001220331129. The reversal of 101001220331120 is 21133022100101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001220331129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119768864 + ... + 120609216.

Almost surely, 2^{101001220331120} is an apocalyptic number.

101001220331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001220331120 is an abundant number, since it is smaller than the sum of its proper divisors (139560976265392).

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

101001220331120 is a wasteful number, since it uses less digits than its factorization.

101001220331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877050 (or 877044 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101001220331120 its reverse (21133022100101), we get a palindrome (122134242431221).

The spelling of 101001220331120 in words is "one hundred one trillion, one billion, two hundred twenty million, three hundred thirty-one thousand, one hundred twenty".