100210033211121 has 56 divisors (see below), whose sum is σ = 150365638342656. Its totient is φ = 66753655899840.

The previous prime is 100210033211063. The next prime is 100210033211143. The reversal of 100210033211121 is 121112330012001.

100210033211121 is a `hidden beast` number, since 1 + 0 + 0 + 210 + 0 + 332 + 1 + 1 + 121 = 666.

It is not a de Polignac number, because 100210033211121 - 2³¹ = 100207885727473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210033211094 and 100210033211103.

It is not an unprimeable number, because it can be changed into a prime (100210033211521) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5883278821 + ... + 5883295853.

Almost surely, 2^{100210033211121} is an apocalyptic number.

It is an amenable number.

100210033211121 is a deficient number, since it is larger than the sum of its proper divisors (50155605131535).

100210033211121 is an equidigital number, since it uses as much as digits as its factorization.

100210033211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22985 (or 22970 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100210033211121 its reverse (121112330012001), we get a palindrome (221322363223122).

The spelling of 100210033211121 in words is "one hundred trillion, two hundred ten billion, thirty-three million, two hundred eleven thousand, one hundred twenty-one".