101023233120 has 72 divisors (see below), whose sum is σ = 344741787936. Its totient is φ = 26939528448.

The previous prime is 101023233119. The next prime is 101023233221. The reversal of 101023233120 is 21332320101.

101023233120 is a `hidden beast` number, since 101 + 0 + 232 + 331 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101023233093 and 101023233102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35076072 + ... + 35078951.

It is an arithmetic number, because the mean of its divisors is an integer number (4788080388).

Almost surely, 2^101023233120 is an apocalyptic number.

101023233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101023233120 is an abundant number, since it is smaller than the sum of its proper divisors (243718554816).

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

101023233120 is a wasteful number, since it uses less digits than its factorization.

101023233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70155044 (or 70155033 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101023233120 its reverse (21332320101), we get a palindrome (122355553221).

The spelling of 101023233120 in words is "one hundred one billion, twenty-three million, two hundred thirty-three thousand, one hundred twenty".