101131331032200 has 192 divisors, whose sum is σ = 358544961653760. Its totient is φ = 23099532606720.

The previous prime is 101131331032189. The next prime is 101131331032213. The reversal of 101131331032200 is 2230133131101.

It is a happy number.

It is a super-2 number, since 2×101131331032200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2443492 + ... + 14430291.

It is an arithmetic number, because the mean of its divisors is an integer number (1867421675280).

Almost surely, 2^{101131331032200} is an apocalyptic number.

101131331032200 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 101131331032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179272480826880).

101131331032200 is an abundant number, since it is smaller than the sum of its proper divisors (257413630621560).

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

101131331032200 is a wasteful number, since it uses less digits than its factorization.

101131331032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16875236 (or 16875227 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101131331032200 its reverse (2230133131101), we get a palindrome (103361464163301).

The spelling of 101131331032200 in words is "one hundred one trillion, one hundred thirty-one billion, three hundred thirty-one million, thirty-two thousand, two hundred".