101202022121121 has 32 divisors (see below), whose sum is σ = 151472592105600. Its totient is φ = 66773885630400.

The previous prime is 101202022121069. The next prime is 101202022121131. The reversal of 101202022121121 is 121121220202101.

101202022121121 is a `hidden beast` number, since 10 + 1 + 202 + 0 + 221 + 211 + 21 = 666.

It is not a de Polignac number, because 101202022121121 - 2¹⁵ = 101202022088353 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101202022121094 and 101202022121103.

It is not an unprimeable number, because it can be changed into a prime (101202022121131) 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 31 ways as a sum of consecutive naturals, for example, 283831 + ... + 14229708.

It is an arithmetic number, because the mean of its divisors is an integer number (4733518503300).

Almost surely, 2^{101202022121121} is an apocalyptic number.

It is an amenable number.

101202022121121 is a deficient number, since it is larger than the sum of its proper divisors (50270569984479).

101202022121121 is a wasteful number, since it uses less digits than its factorization.

101202022121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14516206 (or 14516200 counting only the distinct ones).

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

Adding to 101202022121121 its reverse (121121220202101), we get a palindrome (222323242323222).

The spelling of 101202022121121 in words is "one hundred one trillion, two hundred two billion, twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".