100201010102020 has 48 divisors (see below), whose sum is σ = 213312096990720. Its totient is φ = 39529970977536.

The previous prime is 100201010101949. The next prime is 100201010102147. The reversal of 100201010102020 is 20201010102001.

It is a super-3 number, since 3×100201010102020³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100201010101988 and 100201010102006.

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, 40945069 + ... + 43323211.

It is an arithmetic number, because the mean of its divisors is an integer number (4444002020640).

Almost surely, 2^{100201010102020} is an apocalyptic number.

100201010102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201010102020 is an abundant number, since it is smaller than the sum of its proper divisors (113111086888700).

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

100201010102020 is a wasteful number, since it uses less digits than its factorization.

100201010102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407084 (or 2407082 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100201010102020 its reverse (20201010102001), we get a palindrome (120402020204021).

The spelling of 100201010102020 in words is "one hundred trillion, two hundred one billion, ten million, one hundred two thousand, twenty".