101013012322200 has 240 divisors, whose sum is σ = 382727080695960. Its totient is φ = 24488002944000.

The previous prime is 101013012322171. The next prime is 101013012322207. The reversal of 101013012322200 is 2223210310101.

101013012322200 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 130 + 12 + 322 + 200 = 666.

It is a super-2 number, since 2×101013012322200² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013012322207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 283247761 + ... + 283604160.

Almost surely, 2^{101013012322200} is an apocalyptic number.

101013012322200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101013012322200 is an abundant number, since it is smaller than the sum of its proper divisors (281714068373760).

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

101013012322200 is a wasteful number, since it uses less digits than its factorization.

101013012322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566851960 (or 566851942 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101013012322200 its reverse (2223210310101), we get a palindrome (103236222632301).

The spelling of 101013012322200 in words is "one hundred one trillion, thirteen billion, twelve million, three hundred twenty-two thousand, two hundred".