100200210122001 has 32 divisors (see below), whose sum is σ = 153417517171200. Its totient is φ = 57530873306880.

The previous prime is 100200210121961. The next prime is 100200210122011. The reversal of 100200210122001 is 100221012002001.

It is not a de Polignac number, because 100200210122001 - 2¹⁸ = 100200209859857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100200210122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132463465 + ... + 133217753.

It is an arithmetic number, because the mean of its divisors is an integer number (4794297411600).

Almost surely, 2^{100200210122001} is an apocalyptic number.

100200210122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200210122001 is a deficient number, since it is larger than the sum of its proper divisors (53217307049199).

100200210122001 is a wasteful number, since it uses less digits than its factorization.

100200210122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966189.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100200210122001 its reverse (100221012002001), we get a palindrome (200421222124002).

The spelling of 100200210122001 in words is "one hundred trillion, two hundred billion, two hundred ten million, one hundred twenty-two thousand, one".