100211102202020 has 24 divisors (see below), whose sum is σ = 210943179997368. Its totient is φ = 39989228428800.

The previous prime is 100211102202017. The next prime is 100211102202037. The reversal of 100211102202020 is 20202201112001.

It can be written as a sum of positive squares in 4 ways, for example, as 10115923746916 + 90095178455104 = 3180554^2 + 9491848^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100211102201986 and 100211102202004.

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, 5950769621 + ... + 5950786460.

It is an arithmetic number, because the mean of its divisors is an integer number (8789299166557).

Almost surely, 2^{100211102202020} is an apocalyptic number.

100211102202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211102202020 is an abundant number, since it is smaller than the sum of its proper divisors (110732077795348).

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

100211102202020 is a wasteful number, since it uses less digits than its factorization.

100211102202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11901556511 (or 11901556509 counting only the distinct ones).

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

Adding to 100211102202020 its reverse (20202201112001), we get a palindrome (120413303314021).

The spelling of 100211102202020 in words is "one hundred trillion, two hundred eleven billion, one hundred two million, two hundred two thousand, twenty".