101021002121121 has 16 divisors (see below), whose sum is σ = 140551221150720. Its totient is φ = 64419069822800.

The previous prime is 101021002121099. The next prime is 101021002121153. The reversal of 101021002121121 is 121121200120101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101021002121121 - 2¹⁵ = 101021002088353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101021002121121.

It is not an unprimeable number, because it can be changed into a prime (101021002121021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49765396 + ... + 51755546.

It is an arithmetic number, because the mean of its divisors is an integer number (8784451321920).

Almost surely, 2^{101021002121121} is an apocalyptic number.

It is an amenable number.

101021002121121 is a deficient number, since it is larger than the sum of its proper divisors (39530219029599).

101021002121121 is a wasteful number, since it uses less digits than its factorization.

101021002121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725836.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101021002121121 its reverse (121121200120101), we get a palindrome (222142202241222).

The spelling of 101021002121121 in words is "one hundred one trillion, twenty-one billion, two million, one hundred twenty-one thousand, one hundred twenty-one".