100201122021 has 64 divisors (see below), whose sum is σ = 184229369856. Its totient is φ = 46749830400.

The previous prime is 100201122019. The next prime is 100201122037. The reversal of 100201122021 is 120221102001.

It is not a de Polignac number, because 100201122021 - 2¹ = 100201122019 is a prime.

It is a super-2 number, since 2×100201122021² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100201121988 and 100201122006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201122011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339795 + ... + 562016.

It is an arithmetic number, because the mean of its divisors is an integer number (2878583904).

Almost surely, 2^100201122021 is an apocalyptic number.

100201122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100201122021 is a deficient number, since it is larger than the sum of its proper divisors (84028247835).

100201122021 is a wasteful number, since it uses less digits than its factorization.

100201122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901882.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100201122021 its reverse (120221102001), we get a palindrome (220422224022).

It can be divided in two parts, 100201 and 122021, that added together give a palindrome (222222).

The spelling of 100201122021 in words is "one hundred billion, two hundred one million, one hundred twenty-two thousand, twenty-one".