101021112122121 has 12 divisors (see below), whose sum is σ = 145919715195072. Its totient is φ = 67347255303576.

The previous prime is 101021112122087. The next prime is 101021112122131. The reversal of 101021112122121 is 121221211120101.

It is a happy number.

It is not a de Polignac number, because 101021112122121 - 2¹⁵ = 101021112089353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101021112122094 and 101021112122103.

It is not an unprimeable number, because it can be changed into a prime (101021112122131) 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 11 ways as a sum of consecutive naturals, for example, 8468581 + ... + 16545666.

It is an arithmetic number, because the mean of its divisors is an integer number (12159976266256).

Almost surely, 2^{101021112122121} is an apocalyptic number.

It is an amenable number.

101021112122121 is a deficient number, since it is larger than the sum of its proper divisors (44898603072951).

101021112122121 is a wasteful number, since it uses less digits than its factorization.

101021112122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25462980 (or 25462977 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101021112122121 its reverse (121221211120101), we get a palindrome (222242323242222).

The spelling of 101021112122121 in words is "one hundred one trillion, twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-one".