100120101002221 has 48 divisors (see below), whose sum is σ = 112240656252144. Its totient is φ = 88943450112000.

The previous prime is 100120101002197. The next prime is 100120101002237. The reversal of 100120101002221 is 122200101021001.

It can be written as a sum of positive squares in 8 ways, for example, as 4816330608996 + 95303770393225 = 2194614^2 + 9762365^2 .

It is not a de Polignac number, because 100120101002221 - 2⁷ = 100120101002093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120101002291) 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, 2862110551 + ... + 2862145531.

It is an arithmetic number, because the mean of its divisors is an integer number (2338347005253).

Almost surely, 2^{100120101002221} is an apocalyptic number.

It is an amenable number.

100120101002221 is a deficient number, since it is larger than the sum of its proper divisors (12120555249923).

100120101002221 is a wasteful number, since it uses less digits than its factorization.

100120101002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39374 (or 39343 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100120101002221 its reverse (122200101021001), we get a palindrome (222320202023222).

The spelling of 100120101002221 in words is "one hundred trillion, one hundred twenty billion, one hundred one million, two thousand, two hundred twenty-one".