201002220022100 has 108 divisors (see below), whose sum is σ = 537233328795996. Its totient is φ = 64861220551680.

The previous prime is 201002220022099. The next prime is 201002220022103. The reversal of 201002220022100 is 1220022200102.

It can be written as a sum of positive squares in 6 ways, for example, as 3651813984784 + 197350406037316 = 1910972^2 + 14048146^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002220022103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1206412619 + ... + 1206579218.

It is an arithmetic number, because the mean of its divisors is an integer number (4974382674037).

Almost surely, 2^{201002220022100} is an apocalyptic number.

201002220022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002220022100 is an abundant number, since it is smaller than the sum of its proper divisors (336231108773896).

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

201002220022100 is a wasteful number, since it uses less digits than its factorization.

201002220022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412991882 (or 2412991868 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 201002220022100 its reverse (1220022200102), we get a palindrome (202222242222202).

The spelling of 201002220022100 in words is "two hundred one trillion, two billion, two hundred twenty million, twenty-two thousand, one hundred".