101221002212121 has 48 divisors (see below), whose sum is σ = 177770631579840. Its totient is φ = 54698655836160.

The previous prime is 101221002212119. The next prime is 101221002212147. The reversal of 101221002212121 is 121212200122101.

101221002212121 is a `hidden beast` number, since 10 + 1 + 221 + 0 + 0 + 221 + 212 + 1 = 666.

It is not a de Polignac number, because 101221002212121 - 2¹ = 101221002212119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101221002212094 and 101221002212103.

It is not an unprimeable number, because it can be changed into a prime (101221002212171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1582683760 + ... + 1582747713.

It is an arithmetic number, because the mean of its divisors is an integer number (3703554824580).

Almost surely, 2^{101221002212121} is an apocalyptic number.

101221002212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221002212121 is a deficient number, since it is larger than the sum of its proper divisors (76549629367719).

101221002212121 is a wasteful number, since it uses less digits than its factorization.

101221002212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165431526 (or 3165431523 counting only the distinct ones).

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

Adding to 101221002212121 its reverse (121212200122101), we get a palindrome (222433202334222).

The spelling of 101221002212121 in words is "one hundred one trillion, two hundred twenty-one billion, two million, two hundred twelve thousand, one hundred twenty-one".