101210321131200 has 504 divisors, whose sum is σ = 368172225165888. Its totient is φ = 26355947304960.

The previous prime is 101210321131187. The next prime is 101210321131301. The reversal of 101210321131200 is 2131123012101.

101210321131200 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 10 + 321 + 131 + 200 = 666.

It is a super-2 number, since 2×101210321131200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3295986247 + ... + 3296016953.

Almost surely, 2^{101210321131200} is an apocalyptic number.

101210321131200 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 101210321131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184086112582944).

101210321131200 is an abundant number, since it is smaller than the sum of its proper divisors (266961904034688).

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

101210321131200 is a wasteful number, since it uses less digits than its factorization.

101210321131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36101 (or 36083 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101210321131200 its reverse (2131123012101), we get a palindrome (103341444143301).

The spelling of 101210321131200 in words is "one hundred one trillion, two hundred ten billion, three hundred twenty-one million, one hundred thirty-one thousand, two hundred".