100001202120020 has 48 divisors (see below), whose sum is σ = 213967718043408. Its totient is φ = 39245226209280.

The previous prime is 100001202120019. The next prime is 100001202120031. The reversal of 100001202120020 is 20021202100001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 280766455876 + 99720435664144 = 529874^2 + 9986012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100001202119983 and 100001202120010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83336132 + ... + 84527588.

It is an arithmetic number, because the mean of its divisors is an integer number (4457660792571).

Almost surely, 2^{100001202120020} is an apocalyptic number.

100001202120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001202120020 is an abundant number, since it is smaller than the sum of its proper divisors (113966515923388).

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

100001202120020 is a wasteful number, since it uses less digits than its factorization.

100001202120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270700 (or 1270698 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100001202120020 its reverse (20021202100001), we get a palindrome (120022404220021).

The spelling of 100001202120020 in words is "one hundred trillion, one billion, two hundred two million, one hundred twenty thousand, twenty".