100252120252221 has 48 divisors (see below), whose sum is σ = 171628896112128. Its totient is φ = 57285635022000.

The previous prime is 100252120252189. The next prime is 100252120252253. The reversal of 100252120252221 is 122252021252001.

100252120252221 is a `hidden beast` number, since 10 + 0 + 2 + 5 + 2 + 120 + 2 + 522 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (100252120252189) and next prime (100252120252253).

It is not a de Polignac number, because 100252120252221 - 2⁵ = 100252120252189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100252120252421) 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, 77555646 + ... + 78837696.

It is an arithmetic number, because the mean of its divisors is an integer number (3575602002336).

Almost surely, 2^{100252120252221} is an apocalyptic number.

It is an amenable number.

100252120252221 is a deficient number, since it is larger than the sum of its proper divisors (71376775859907).

100252120252221 is an equidigital number, since it uses as much as digits as its factorization.

100252120252221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328044 (or 1328032 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 100252120252221 in words is "one hundred trillion, two hundred fifty-two billion, one hundred twenty million, two hundred fifty-two thousand, two hundred twenty-one".