221210100002120 has 16 divisors (see below), whose sum is σ = 497722725004860. Its totient is φ = 88484040000832.

The previous prime is 221210100002117. The next prime is 221210100002131. The reversal of 221210100002120 is 21200001012122.

221210100002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 215333965244644 + 5876134757476 = 14674262^2 + 2424074^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221210100002095 and 221210100002104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2765126249987 + ... + 2765126250066.

Almost surely, 2^{221210100002120} is an apocalyptic number.

221210100002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221210100002120 is an abundant number, since it is smaller than the sum of its proper divisors (276512625002740).

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

221210100002120 is a wasteful number, since it uses less digits than its factorization.

221210100002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530252500064 (or 5530252500060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221210100002120 its reverse (21200001012122), we get a palindrome (242410101014242).

The spelling of 221210100002120 in words is "two hundred twenty-one trillion, two hundred ten billion, one hundred million, two thousand, one hundred twenty".