221002100022120 has 128 divisors (see below), whose sum is σ = 667864901082240. Its totient is φ = 58502042357760.

The previous prime is 221002100022107. The next prime is 221002100022127. The reversal of 221002100022120 is 21220001200122.

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 221002100022120.

It is not an unprimeable number, because it can be changed into a prime (221002100022127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637748100 + ... + 638094540.

It is an arithmetic number, because the mean of its divisors is an integer number (5217694539705).

Almost surely, 2^{221002100022120} is an apocalyptic number.

221002100022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221002100022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333932450541120).

221002100022120 is an abundant number, since it is smaller than the sum of its proper divisors (446862801060120).

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

221002100022120 is a wasteful number, since it uses less digits than its factorization.

221002100022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385395 (or 385391 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221002100022120 its reverse (21220001200122), we get a palindrome (242222101222242).

The spelling of 221002100022120 in words is "two hundred twenty-one trillion, two billion, one hundred million, twenty-two thousand, one hundred twenty".