101100210200001 has 24 divisors (see below), whose sum is σ = 147194516589120. Its totient is φ = 66864672045600.

The previous prime is 101100210199841. The next prime is 101100210200039. The reversal of 101100210200001 is 100002012001101.

It is a happy number.

It is not a de Polignac number, because 101100210200001 - 2⁹ = 101100210199489 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 (101100210200051) 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, 9674166 + ... + 17198543.

It is an arithmetic number, because the mean of its divisors is an integer number (6133104857880).

Almost surely, 2^{101100210200001} is an apocalyptic number.

It is an amenable number.

101100210200001 is a deficient number, since it is larger than the sum of its proper divisors (46094306389119).

101100210200001 is a wasteful number, since it uses less digits than its factorization.

101100210200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26876037 (or 26876034 counting only the distinct ones).

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

Adding to 101100210200001 its reverse (100002012001101), we get a palindrome (201102222201102).

The spelling of 101100210200001 in words is "one hundred one trillion, one hundred billion, two hundred ten million, two hundred thousand, one".