100210122001 has 8 divisors (see below), whose sum is σ = 109349198784. Its totient is φ = 91075889520.

The previous prime is 100210121987. The next prime is 100210122013. The reversal of 100210122001 is 100221012001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100210122001 - 2¹⁵ = 100210089233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100210122091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1167750 + ... + 1250623.

It is an arithmetic number, because the mean of its divisors is an integer number (13668649848).

Almost surely, 2^100210122001 is an apocalyptic number.

100210122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210122001 is a deficient number, since it is larger than the sum of its proper divisors (9139076783).

100210122001 is a wasteful number, since it uses less digits than its factorization.

100210122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422151.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100210122001 its reverse (100221012001), we get a palindrome (200431134002).

Subtracting 100210122001 from its reverse (100221012001), we obtain a square (10890000 = 3300²).

The spelling of 100210122001 in words is "one hundred billion, two hundred ten million, one hundred twenty-two thousand, one".