100020201121 has 16 divisors (see below), whose sum is σ = 101645182800. Its totient is φ = 98409600000.

The previous prime is 100020201101. The next prime is 100020201139. The reversal of 100020201121 is 121102020001.

It can be written as a sum of positive squares in 8 ways, for example, as 977187600 + 99043013521 = 31260^2 + 314711^2 .

It is a cyclic number.

It is not a de Polignac number, because 100020201121 - 2¹³ = 100020192929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100020201098 and 100020201107.

It is not an unprimeable number, because it can be changed into a prime (100020201101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11107621 + ... + 11116621.

It is an arithmetic number, because the mean of its divisors is an integer number (6352823925).

Almost surely, 2^100020201121 is an apocalyptic number.

It is an amenable number.

100020201121 is a deficient number, since it is larger than the sum of its proper divisors (1624981679).

100020201121 is a wasteful number, since it uses less digits than its factorization.

100020201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9780.

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

Adding to 100020201121 its reverse (121102020001), we get a palindrome (221122221122).

The spelling of 100020201121 in words is "one hundred billion, twenty million, two hundred one thousand, one hundred twenty-one".