100211000011201 has 16 divisors (see below), whose sum is σ = 106543834755840. Its totient is φ = 94042915046080.

The previous prime is 100211000011193. The next prime is 100211000011207. The reversal of 100211000011201 is 102110000112001.

It is a cyclic number.

It is not a de Polignac number, because 100211000011201 - 2³ = 100211000011193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211000011207) 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, 45229095 + ... + 47392963.

It is an arithmetic number, because the mean of its divisors is an integer number (6658989672240).

Almost surely, 2^{100211000011201} is an apocalyptic number.

It is an amenable number.

100211000011201 is a deficient number, since it is larger than the sum of its proper divisors (6332834744639).

100211000011201 is a wasteful number, since it uses less digits than its factorization.

100211000011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201936.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100211000011201 its reverse (102110000112001), we get a palindrome (202321000123202).

The spelling of 100211000011201 in words is "one hundred trillion, two hundred eleven billion, eleven thousand, two hundred one".