102100112101211 has 16 divisors (see below), whose sum is σ = 117146771833344. Its totient is φ = 87168782781504.

The previous prime is 102100112101201. The next prime is 102100112101217. The reversal of 102100112101211 is 112101211001201.

It is a cyclic number.

It is not a de Polignac number, because 102100112101211 - 2³⁰ = 102099038359387 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100112101217) 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, 8423840 + ... + 16587986.

It is an arithmetic number, because the mean of its divisors is an integer number (7321673239584).

Almost surely, 2^{102100112101211} is an apocalyptic number.

102100112101211 is a deficient number, since it is larger than the sum of its proper divisors (15046659732133).

102100112101211 is an equidigital number, since it uses as much as digits as its factorization.

102100112101211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8171210.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102100112101211 its reverse (112101211001201), we get a palindrome (214201323102412).

The spelling of 102100112101211 in words is "one hundred two trillion, one hundred billion, one hundred twelve million, one hundred one thousand, two hundred eleven".