101200122122121 has 96 divisors (see below), whose sum is σ = 164560786790400. Its totient is φ = 59390669197440.

The previous prime is 101200122122119. The next prime is 101200122122161. The reversal of 101200122122121 is 121221221002101.

101200122122121 is a `hidden beast` number, since 1 + 0 + 1 + 200 + 1 + 221 + 221 + 21 = 666.

It is not a de Polignac number, because 101200122122121 - 2¹ = 101200122122119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101200122122094 and 101200122122103.

It is not an unprimeable number, because it can be changed into a prime (101200122122161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 741004240 + ... + 741140798.

It is an arithmetic number, because the mean of its divisors is an integer number (1714174862400).

Almost surely, 2^{101200122122121} is an apocalyptic number.

101200122122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101200122122121 is a deficient number, since it is larger than the sum of its proper divisors (63360664668279).

101200122122121 is a wasteful number, since it uses less digits than its factorization.

101200122122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137579 (or 137576 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101200122122121 its reverse (121221221002101), we get a palindrome (222421343124222).

The spelling of 101200122122121 in words is "one hundred one trillion, two hundred billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".