101221122121002 has 32 divisors (see below), whose sum is σ = 242238582855360. Its totient is φ = 31144960652400.

The previous prime is 101221122120973. The next prime is 101221122121019. The reversal of 101221122121002 is 200121221122101.

101221122121002 is a `hidden beast` number, since 10 + 1 + 221 + 1 + 221 + 210 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72094815624 + ... + 72094817027.

It is an arithmetic number, because the mean of its divisors is an integer number (7569955714230).

Almost surely, 2^{101221122121002} is an apocalyptic number.

101221122121002 is an abundant number, since it is smaller than the sum of its proper divisors (141017460734358).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101221122121002 is a wasteful number, since it uses less digits than its factorization.

101221122121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144189632675 (or 144189632669 counting only the distinct ones).

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

Adding to 101221122121002 its reverse (200121221122101), we get a palindrome (301342343243103).

The spelling of 101221122121002 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, two".