101130022231120 has 80 divisors (see below), whose sum is σ = 236602665388800. Its totient is φ = 40198251843072.

The previous prime is 101130022231103. The next prime is 101130022231163. The reversal of 101130022231120 is 21132220031101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93965806 + ... + 95035954.

It is an arithmetic number, because the mean of its divisors is an integer number (2957533317360).

Almost surely, 2^{101130022231120} is an apocalyptic number.

101130022231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101130022231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118301332694400).

101130022231120 is an abundant number, since it is smaller than the sum of its proper divisors (135472643157680).

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

101130022231120 is a wasteful number, since it uses less digits than its factorization.

101130022231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077572 (or 1077566 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101130022231120 its reverse (21132220031101), we get a palindrome (122262242262221).

The spelling of 101130022231120 in words is "one hundred one trillion, one hundred thirty billion, twenty-two million, two hundred thirty-one thousand, one hundred twenty".