101011000332 has 96 divisors (see below), whose sum is σ = 267250685184. Its totient is φ = 29423174400.

The previous prime is 101011000319. The next prime is 101011000361. The reversal of 101011000332 is 233000110101.

101011000332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101011000332² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280782 + ... + 529962.

It is an arithmetic number, because the mean of its divisors is an integer number (2783861304).

Almost surely, 2^101011000332 is an apocalyptic number.

101011000332 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 101011000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133625342592).

101011000332 is an abundant number, since it is smaller than the sum of its proper divisors (166239684852).

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

101011000332 is a wasteful number, since it uses less digits than its factorization.

101011000332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249319 (or 249317 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101011000332 its reverse (233000110101), we get a palindrome (334011110433).

The spelling of 101011000332 in words is "one hundred one billion, eleven million, three hundred thirty-two", and thus it is an aban number.