100201220011220 has 24 divisors (see below), whose sum is σ = 210811513177608. Its totient is φ = 40006402070400.

The previous prime is 100201220011213. The next prime is 100201220011247. The reversal of 100201220011220 is 22110022102001.

It can be written as a sum of positive squares in 4 ways, for example, as 735265090576 + 99465954920644 = 857476^2 + 9973262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100201220011195 and 100201220011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4630359791 + ... + 4630381430.

It is an arithmetic number, because the mean of its divisors is an integer number (8783813049067).

Almost surely, 2^{100201220011220} is an apocalyptic number.

100201220011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201220011220 is an abundant number, since it is smaller than the sum of its proper divisors (110610293166388).

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

100201220011220 is a wasteful number, since it uses less digits than its factorization.

100201220011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9260741771 (or 9260741769 counting only the distinct ones).

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

Adding to 100201220011220 its reverse (22110022102001), we get a palindrome (122311242113221).

The spelling of 100201220011220 in words is "one hundred trillion, two hundred one billion, two hundred twenty million, eleven thousand, two hundred twenty".