100201012101 has 24 divisors (see below), whose sum is σ = 154934676000. Its totient is φ = 62212218912.

The previous prime is 100201012091. The next prime is 100201012147. The reversal of 100201012101 is 101210102001.

It is a happy number.

It is not a de Polignac number, because 100201012101 - 2¹¹ = 100201010053 is a prime.

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 (100201011101) 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, 4955766 + ... + 4975943.

It is an arithmetic number, because the mean of its divisors is an integer number (6455611500).

Almost surely, 2^100201012101 is an apocalyptic number.

It is an amenable number.

100201012101 is a deficient number, since it is larger than the sum of its proper divisors (54733663899).

100201012101 is a wasteful number, since it uses less digits than its factorization.

100201012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9931793 (or 9931790 counting only the distinct ones).

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

Adding to 100201012101 its reverse (101210102001), we get a palindrome (201411114102).

It can be divided in two parts, 10020 and 1012101, that added together give a square (1022121 = 1011²).

The spelling of 100201012101 in words is "one hundred billion, two hundred one million, twelve thousand, one hundred one".