101112121220200 has 24 divisors (see below), whose sum is σ = 235085681837430. Its totient is φ = 40444848488000.

The previous prime is 101112121220197. The next prime is 101112121220261. The reversal of 101112121220200 is 2022121211101.

It can be written as a sum of positive squares in 3 ways, for example, as 94793162047684 + 6318959172516 = 9736178^2 + 2513754^2 .

It is a super-2 number, since 2×101112121220200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252780302851 + ... + 252780303250.

Almost surely, 2^{101112121220200} is an apocalyptic number.

101112121220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112121220200 is an abundant number, since it is smaller than the sum of its proper divisors (133973560617230).

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

101112121220200 is a wasteful number, since it uses less digits than its factorization.

101112121220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505560606117 (or 505560606108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101112121220200 its reverse (2022121211101), we get a palindrome (103134242431301).

Subtracting from 101112121220200 its reverse (2022121211101), we obtain a palindrome (99090000009099).

The spelling of 101112121220200 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twenty thousand, two hundred".