101221111002121 has 16 divisors (see below), whose sum is σ = 110439331504128. Its totient is φ = 92005608682000.

The previous prime is 101221111002101. The next prime is 101221111002149. The reversal of 101221111002121 is 121200111122101.

It is a cyclic number.

It is not a de Polignac number, because 101221111002121 - 2⁹ = 101221111001609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101221111002095 and 101221111002104.

It is not an unprimeable number, because it can be changed into a prime (101221111002101) 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, 3634365846 + ... + 3634393696.

It is an arithmetic number, because the mean of its divisors is an integer number (6902458219008).

Almost surely, 2^{101221111002121} is an apocalyptic number.

101221111002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221111002121 is a deficient number, since it is larger than the sum of its proper divisors (9218220502007).

101221111002121 is a wasteful number, since it uses less digits than its factorization.

101221111002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64772.

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

Adding to 101221111002121 its reverse (121200111122101), we get a palindrome (222421222124222).

The spelling of 101221111002121 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred eleven million, two thousand, one hundred twenty-one".