221012100002120 has 64 divisors (see below), whose sum is σ = 568322904078720. Its totient is φ = 75774767076864.

The previous prime is 221012100002101. The next prime is 221012100002147. The reversal of 221012100002120 is 21200001210122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 221012100002095 and 221012100002104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22317044 + ... + 30660636.

It is an arithmetic number, because the mean of its divisors is an integer number (8880045376230).

Almost surely, 2^{221012100002120} is an apocalyptic number.

221012100002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221012100002120 is an abundant number, since it is smaller than the sum of its proper divisors (347310804076600).

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

221012100002120 is a wasteful number, since it uses less digits than its factorization.

221012100002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8438214 (or 8438210 counting only the distinct ones).

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

Adding to 221012100002120 its reverse (21200001210122), we get a palindrome (242212101212242).

The spelling of 221012100002120 in words is "two hundred twenty-one trillion, twelve billion, one hundred million, two thousand, one hundred twenty".