101012122022121 has 224 divisors, whose sum is σ = 166614153818112. Its totient is φ = 60966738892800.

The previous prime is 101012122022111. The next prime is 101012122022237. The reversal of 101012122022121 is 121220221210101.

101012122022121 is a `hidden beast` number, since 101 + 0 + 121 + 220 + 221 + 2 + 1 = 666.

It is not a de Polignac number, because 101012122022121 - 2⁶ = 101012122022057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101012122022094 and 101012122022103.

It is not an unprimeable number, because it can be changed into a prime (101012122022101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6832984696 + ... + 6832999478.

It is an arithmetic number, because the mean of its divisors is an integer number (743813186688).

Almost surely, 2^{101012122022121} is an apocalyptic number.

It is an amenable number.

101012122022121 is a deficient number, since it is larger than the sum of its proper divisors (65602031795991).

101012122022121 is a wasteful number, since it uses less digits than its factorization.

101012122022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15075 (or 15060 counting only the distinct ones).

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

Adding to 101012122022121 its reverse (121220221210101), we get a palindrome (222232343232222).

The spelling of 101012122022121 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, twenty-two thousand, one hundred twenty-one".