101033034010320 has 80 divisors (see below), whose sum is σ = 313366130016192. Its totient is φ = 26928058567680.

The previous prime is 101033034010319. The next prime is 101033034010351. The reversal of 101033034010320 is 23010430330101.

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

It is a super-2 number, since 2×101033034010320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 109569886 + ... + 110488125.

Almost surely, 2^{101033034010320} is an apocalyptic number.

101033034010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101033034010320 is an abundant number, since it is smaller than the sum of its proper divisors (212333096005872).

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

101033034010320 is a wasteful number, since it uses less digits than its factorization.

101033034010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220059940 (or 220059934 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101033034010320 its reverse (23010430330101), we get a palindrome (124043464340421).

The spelling of 101033034010320 in words is "one hundred one trillion, thirty-three billion, thirty-four million, ten thousand, three hundred twenty".