100000202020101 has 24 divisors (see below), whose sum is σ = 146086989473880. Its totient is φ = 65910280697856.

The previous prime is 100000202020067. The next prime is 100000202020181. The reversal of 100000202020101 is 101020202000001.

It can be written as a sum of positive squares in 4 ways, for example, as 27602141243076 + 72398060777025 = 5253774^2 + 8508705^2 .

It is not a de Polignac number, because 100000202020101 - 2¹¹ = 100000202018053 is a prime.

It is a super-2 number, since 2×100000202020101² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000202020181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59266546 + ... + 60930483.

It is an arithmetic number, because the mean of its divisors is an integer number (6086957894745).

Almost surely, 2^{100000202020101} is an apocalyptic number.

It is an amenable number.

100000202020101 is a deficient number, since it is larger than the sum of its proper divisors (46086787453779).

100000202020101 is a wasteful number, since it uses less digits than its factorization.

100000202020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120198085 (or 120198082 counting only the distinct ones).

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

Adding to 100000202020101 its reverse (101020202000001), we get a palindrome (201020404020102).

The spelling of 100000202020101 in words is "one hundred trillion, two hundred two million, twenty thousand, one hundred one".