101431121020200 has 576 divisors, whose sum is σ = 362117022424560. Its totient is φ = 25355731599360.

The previous prime is 101431121020199. The next prime is 101431121020309. The reversal of 101431121020200 is 2020121134101.

101431121020200 is a `hidden beast` number, since 1 + 0 + 1 + 431 + 1 + 2 + 10 + 20 + 200 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 2873045340036 + 98558075680164 = 1695006^2 + 9927642^2 .

It is a super-2 number, since 2×101431121020200² (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 143 ways as a sum of consecutive naturals, for example, 13900382952 + ... + 13900390248.

Almost surely, 2^{101431121020200} is an apocalyptic number.

101431121020200 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 101431121020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181058511212280).

101431121020200 is an abundant number, since it is smaller than the sum of its proper divisors (260685901404360).

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

101431121020200 is a wasteful number, since it uses less digits than its factorization.

101431121020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9086 (or 9074 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101431121020200 its reverse (2020121134101), we get a palindrome (103451242154301).

The spelling of 101431121020200 in words is "one hundred one trillion, four hundred thirty-one billion, one hundred twenty-one million, twenty thousand, two hundred".