100200000211201 has 8 divisors (see below), whose sum is σ = 109309334112000. Its totient is φ = 91090706805840.

The previous prime is 100200000211163. The next prime is 100200000211219. The reversal of 100200000211201 is 102112000002001.

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

It is a cyclic number.

It is not a de Polignac number, because 100200000211201 - 2²⁷ = 100199865993473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100200000211601) 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 7 ways as a sum of consecutive naturals, for example, 4829841 + ... + 14957518.

It is an arithmetic number, because the mean of its divisors is an integer number (13663666764000).

Almost surely, 2^{100200000211201} is an apocalyptic number.

100200000211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200000211201 is a deficient number, since it is larger than the sum of its proper divisors (9109333900799).

100200000211201 is a wasteful number, since it uses less digits than its factorization.

100200000211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20247719.

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

Adding to 100200000211201 its reverse (102112000002001), we get a palindrome (202312000213202).

The spelling of 100200000211201 in words is "one hundred trillion, two hundred billion, two hundred eleven thousand, two hundred one".