101220120121221 has 16 divisors (see below), whose sum is σ = 158776659014400. Its totient is φ = 63510663605184.

The previous prime is 101220120121189. The next prime is 101220120121223. The reversal of 101220120121221 is 122121021022101.

101220120121221 is a `hidden beast` number, since 1 + 0 + 1 + 220 + 1 + 201 + 21 + 221 = 666.

It is not a de Polignac number, because 101220120121221 - 2⁵ = 101220120121189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101220120121194 and 101220120121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220120121223) 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, 110261568301 + ... + 110261569218.

It is an arithmetic number, because the mean of its divisors is an integer number (9923541188400).

Almost surely, 2^{101220120121221} is an apocalyptic number.

It is an amenable number.

101220120121221 is a deficient number, since it is larger than the sum of its proper divisors (57556538893179).

101220120121221 is a wasteful number, since it uses less digits than its factorization.

101220120121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220523137545 (or 220523137539 counting only the distinct ones).

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

Adding to 101220120121221 its reverse (122121021022101), we get a palindrome (223341141143322).

The spelling of 101220120121221 in words is "one hundred one trillion, two hundred twenty billion, one hundred twenty million, one hundred twenty-one thousand, two hundred twenty-one".