221010100122120 has 64 divisors (see below), whose sum is σ = 663713133157440. Its totient is φ = 58875330451200.

The previous prime is 221010100122101. The next prime is 221010100122143. The reversal of 221010100122120 is 21221001010122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221010100122120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948261871 + ... + 948494910.

It is an arithmetic number, because the mean of its divisors is an integer number (10370517705585).

Almost surely, 2^{221010100122120} is an apocalyptic number.

221010100122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010100122120 is an abundant number, since it is smaller than the sum of its proper divisors (442703033035320).

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

221010100122120 is a wasteful number, since it uses less digits than its factorization.

221010100122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896757766 (or 1896757762 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221010100122120 its reverse (21221001010122), we get a palindrome (242231101132242).

The spelling of 221010100122120 in words is "two hundred twenty-one trillion, ten billion, one hundred million, one hundred twenty-two thousand, one hundred twenty".