101030330131120 has 80 divisors (see below), whose sum is σ = 261687314064960. Its totient is φ = 36017178688512.

The previous prime is 101030330131109. The next prime is 101030330131147. The reversal of 101030330131120 is 21131033030101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1674875844 + ... + 1674936163.

It is an arithmetic number, because the mean of its divisors is an integer number (3271091425812).

Almost surely, 2^{101030330131120} is an apocalyptic number.

101030330131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101030330131120 is an abundant number, since it is smaller than the sum of its proper divisors (160656983933840).

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

101030330131120 is a wasteful number, since it uses less digits than its factorization.

101030330131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349812062 (or 3349812056 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101030330131120 its reverse (21131033030101), we get a palindrome (122161363161221).

It can be divided in two parts, 101030 and 330131120, that added together give a triangular number (330232150 = T₂₅₆₉₉).

The spelling of 101030330131120 in words is "one hundred one trillion, thirty billion, three hundred thirty million, one hundred thirty-one thousand, one hundred twenty".