101332202000 has 80 divisors (see below), whose sum is σ = 245116548144. Its totient is φ = 40517120000.

The previous prime is 101332201951. The next prime is 101332202017. The reversal of 101332202000 is 202233101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8314521856 + 93017680144 = 91184^2 + 304988^2 .

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

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, 6073670 + ... + 6090330.

Almost surely, 2^101332202000 is an apocalyptic number.

101332202000 is a gapful number since it is divisible by the number (10) 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 101332202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122558274072).

101332202000 is an abundant number, since it is smaller than the sum of its proper divisors (143784346144).

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

101332202000 is a wasteful number, since it uses less digits than its factorization.

101332202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19725 (or 19709 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 101332202000 its reverse (202233101), we get a palindrome (101534435101).

The spelling of 101332202000 in words is "one hundred one billion, three hundred thirty-two million, two hundred two thousand".