221220201001080 has 128 divisors (see below), whose sum is σ = 667608755374080. Its totient is φ = 58642140472320.

The previous prime is 221220201001057. The next prime is 221220201001081. The reversal of 221220201001080 is 80100102022122.

It is a super-2 number, since 2×221220201001080² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221220201001081) 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, 5620612 + ... + 21772268.

It is an arithmetic number, because the mean of its divisors is an integer number (5215693401360).

Almost surely, 2^{221220201001080} is an apocalyptic number.

221220201001080 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 221220201001080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333804377687040).

221220201001080 is an abundant number, since it is smaller than the sum of its proper divisors (446388554373000).

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

221220201001080 is a wasteful number, since it uses less digits than its factorization.

221220201001080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16152349 (or 16152345 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 221220201001080 in words is "two hundred twenty-one trillion, two hundred twenty billion, two hundred one million, one thousand, eighty".