101017233312 has 96 divisors (see below), whose sum is σ = 272702707200. Its totient is φ = 32723792640.

The previous prime is 101017233311. The next prime is 101017233391. The reversal of 101017233312 is 213332710101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×101017233312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101017233311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759987 + ... + 882957.

It is an arithmetic number, because the mean of its divisors is an integer number (2840653200).

Almost surely, 2^101017233312 is an apocalyptic number.

101017233312 is a gapful number since it is divisible by the number (12) 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 101017233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136351353600).

101017233312 is an abundant number, since it is smaller than the sum of its proper divisors (171685473888).

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

101017233312 is a wasteful number, since it uses less digits than its factorization.

101017233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123226 (or 123218 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

Adding to 101017233312 its reverse (213332710101), we get a palindrome (314349943413).

The spelling of 101017233312 in words is "one hundred one billion, seventeen million, two hundred thirty-three thousand, three hundred twelve".