100201021011 has 96 divisors (see below), whose sum is σ = 185158471680. Its totient is φ = 50803967232.

The previous prime is 100201021001. The next prime is 100201021021. The reversal of 100201021011 is 110120102001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100201021001) and next prime (100201021021).

It is not a de Polignac number, because 100201021011 - 2¹⁴ = 100201004627 is a prime.

It is a super-2 number, since 2×100201021011² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100201020984 and 100201021002.

It is not an unprimeable number, because it can be changed into a prime (100201021001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2495230 + ... + 2535068.

It is an arithmetic number, because the mean of its divisors is an integer number (1928734080).

Almost surely, 2^100201021011 is an apocalyptic number.

100201021011 is a deficient number, since it is larger than the sum of its proper divisors (84957450669).

100201021011 is a wasteful number, since it uses less digits than its factorization.

100201021011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39985 (or 39982 counting only the distinct ones).

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

Adding to 100201021011 its reverse (110120102001), we get a palindrome (210321123012).

The spelling of 100201021011 in words is "one hundred billion, two hundred one million, twenty-one thousand, eleven".