100201001021020 has 24 divisors (see below), whose sum is σ = 212505489298368. Its totient is φ = 39683564760000.

The previous prime is 100201001020937. The next prime is 100201001021041. The reversal of 100201001021020 is 20120100102001.

It is a super-2 number, since 2×100201001021020² (a number of 29 digits) contains 22 as substring.

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 = 100201001020988 and 100201001021006.

It is a congruent number.

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, 24802225956 + ... + 24802229995.

It is an arithmetic number, because the mean of its divisors is an integer number (8854395387432).

Almost surely, 2^{100201001021020} is an apocalyptic number.

100201001021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201001021020 is an abundant number, since it is smaller than the sum of its proper divisors (112304488277348).

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

100201001021020 is a wasteful number, since it uses less digits than its factorization.

100201001021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49604456061 (or 49604456059 counting only the distinct ones).

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

Adding to 100201001021020 its reverse (20120100102001), we get a palindrome (120321101123021).

The spelling of 100201001021020 in words is "one hundred trillion, two hundred one billion, one million, twenty-one thousand, twenty".