100201011201 has 40 divisors (see below), whose sum is σ = 152594905320. Its totient is φ = 65502597888.

The previous prime is 100201011191. The next prime is 100201011203. The reversal of 100201011201 is 102110102001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27689292801 + 72511718400 = 166401^2 + 269280^2 .

It is not a de Polignac number, because 100201011201 - 2¹³ = 100201003009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100201011203) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8807845 + ... + 8819213.

It is an arithmetic number, because the mean of its divisors is an integer number (3814872633).

Almost surely, 2^100201011201 is an apocalyptic number.

It is an amenable number.

100201011201 is a deficient number, since it is larger than the sum of its proper divisors (52393894119).

100201011201 is a wasteful number, since it uses less digits than its factorization.

100201011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13487 (or 13478 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100201011201 its reverse (102110102001), we get a palindrome (202311113202).

The spelling of 100201011201 in words is "one hundred billion, two hundred one million, eleven thousand, two hundred one".