101200101121220 has 96 divisors (see below), whose sum is σ = 215187500556000. Its totient is φ = 39974147481600.

The previous prime is 101200101121159. The next prime is 101200101121303. The reversal of 101200101121220 is 22121101002101.

It can be written as a sum of positive squares in 16 ways, for example, as 11781479597056 + 89418621524164 = 3432416^2 + 9456142^2 .

It is a super-2 number, since 2×101200101121220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101200101121195 and 101200101121204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3090157406 + ... + 3090190154.

It is an arithmetic number, because the mean of its divisors is an integer number (2241536464125).

Almost surely, 2^{101200101121220} is an apocalyptic number.

101200101121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200101121220 is an abundant number, since it is smaller than the sum of its proper divisors (113987399434780).

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

101200101121220 is a wasteful number, since it uses less digits than its factorization.

101200101121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36825 (or 36823 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101200101121220 its reverse (22121101002101), we get a palindrome (123321202123321).

The spelling of 101200101121220 in words is "one hundred one trillion, two hundred billion, one hundred one million, one hundred twenty-one thousand, two hundred twenty".