120100202221121 has 16 divisors (see below), whose sum is σ = 128106814741776. Its totient is φ = 112198420955136.

The previous prime is 120100202221079. The next prime is 120100202221127. The reversal of 120100202221121 is 121122202001021.

It can be written as a sum of positive squares in 8 ways, for example, as 6533647210000 + 113566555011121 = 2556100^2 + 10656761^2 .

It is a de Polignac number, because none of the positive numbers 2^k-120100202221121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120100202221121.

It is not an unprimeable number, because it can be changed into a prime (120100202221127) 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, 19089365 + ... + 24588701.

It is an arithmetic number, because the mean of its divisors is an integer number (8006675921361).

Almost surely, 2^{120100202221121} is an apocalyptic number.

It is an amenable number.

120100202221121 is a deficient number, since it is larger than the sum of its proper divisors (8006612520655).

120100202221121 is a wasteful number, since it uses less digits than its factorization.

120100202221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508868.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 120100202221121 its reverse (121122202001021), we get a palindrome (241222404222142).

The spelling of 120100202221121 in words is "one hundred twenty trillion, one hundred billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty-one".