20102221100100 has 144 divisors (see below), whose sum is σ = 58244280127488. Its totient is φ = 5353053701760.

The previous prime is 20102221100069. The next prime is 20102221100119. The reversal of 20102221100100 is 100112220102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634784467 + ... + 634816133.

It is an arithmetic number, because the mean of its divisors is an integer number (404474167552).

Almost surely, 2^{20102221100100} is an apocalyptic number.

20102221100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102221100100 is an abundant number, since it is smaller than the sum of its proper divisors (38142059027388).

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

20102221100100 is a wasteful number, since it uses less digits than its factorization.

20102221100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34594 (or 34587 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20102221100100 its reverse (100112220102), we get a palindrome (20202333320202).

The spelling of 20102221100100 in words is "twenty trillion, one hundred two billion, two hundred twenty-one million, one hundred thousand, one hundred".