101013002322232 has 512 divisors, whose sum is σ = 267338306027520. Its totient is φ = 34490085949440.

The previous prime is 101013002322203. The next prime is 101013002322233. The reversal of 101013002322232 is 232223200310101.

It is a super-2 number, since 2×101013002322232² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013002322233) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14498776813 + ... + 14498783779.

It is an arithmetic number, because the mean of its divisors is an integer number (522145128960).

Almost surely, 2^{101013002322232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101013002322232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133669153013760).

101013002322232 is an abundant number, since it is smaller than the sum of its proper divisors (166325303705288).

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

101013002322232 is a wasteful number, since it uses less digits than its factorization.

101013002322232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7603 (or 7599 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 101013002322232 its reverse (232223200310101), we get a palindrome (333236202632333).

The spelling of 101013002322232 in words is "one hundred one trillion, thirteen billion, two million, three hundred twenty-two thousand, two hundred thirty-two".