100200110020020 has 72 divisors (see below), whose sum is σ = 304273967961600. Its totient is φ = 26690698856640.

The previous prime is 100200110020009. The next prime is 100200110020037. The reversal of 100200110020020 is 20020011002001.

It is a super-2 number, since 2×100200110020020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100200110019984 and 100200110020011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305361420 + ... + 305689379.

It is an arithmetic number, because the mean of its divisors is an integer number (4226027332800).

Almost surely, 2^{100200110020020} is an apocalyptic number.

100200110020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200110020020 is an abundant number, since it is smaller than the sum of its proper divisors (204073857941580).

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

100200110020020 is a wasteful number, since it uses less digits than its factorization.

100200110020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611051725 (or 611051720 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100200110020020 its reverse (20020011002001), we get a palindrome (120220121022021).

It can be divided in two parts, 100200 and 110020020, that added together give a triangular number (110120220 = T₁₄₈₄₀).

The spelling of 100200110020020 in words is "one hundred trillion, two hundred billion, one hundred ten million, twenty thousand, twenty".