101210100201 has 72 divisors (see below), whose sum is σ = 179115112800. Its totient is φ = 54758592000.

The previous prime is 101210100179. The next prime is 101210100227. The reversal of 101210100201 is 102001012101.

It is a happy number.

It is not a de Polignac number, because 101210100201 - 2⁵ = 101210100169 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 (101210100401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25294201 + ... + 25298201.

It is an arithmetic number, because the mean of its divisors is an integer number (2487709900).

Almost surely, 2^101210100201 is an apocalyptic number.

It is an amenable number.

101210100201 is a deficient number, since it is larger than the sum of its proper divisors (77905012599).

101210100201 is a wasteful number, since it uses less digits than its factorization.

101210100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7059 (or 7049 counting only the distinct ones).

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

Adding to 101210100201 its reverse (102001012101), we get a palindrome (203211112302).

The spelling of 101210100201 in words is "one hundred one billion, two hundred ten million, one hundred thousand, two hundred one".