100101000210001 has 16 divisors (see below), whose sum is σ = 114440077559808. Its totient is φ = 85771659916800.

The previous prime is 100101000209971. The next prime is 100101000210139. The reversal of 100101000210001 is 100012000101001.

It is a cyclic number.

It is not a de Polignac number, because 100101000210001 - 2⁹ = 100101000209489 is a prime.

It is a super-2 number, since 2×100101000210001² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (100101000210401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372208341 + ... + 372477181.

It is an arithmetic number, because the mean of its divisors is an integer number (7152504847488).

Almost surely, 2^{100101000210001} is an apocalyptic number.

It is an amenable number.

100101000210001 is a deficient number, since it is larger than the sum of its proper divisors (14339077349807).

100101000210001 is a wasteful number, since it uses less digits than its factorization.

100101000210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286752.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100101000210001 its reverse (100012000101001), we get a palindrome (200113000311002).

The spelling of 100101000210001 in words is "one hundred trillion, one hundred one billion, two hundred ten thousand, one".