102100211000111 has 8 divisors (see below), whose sum is σ = 102182126170800. Its totient is φ = 102018300027840.

The previous prime is 102100211000027. The next prime is 102100211000149. The reversal of 102100211000111 is 111000112001201.

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 102100211000111 - 2²⁶ = 102100143891247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100211000092 and 102100211000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100211000311) 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, 48546500 + ... + 50605958.

It is an arithmetic number, because the mean of its divisors is an integer number (12772765771350).

Almost surely, 2^{102100211000111} is an apocalyptic number.

102100211000111 is a deficient number, since it is larger than the sum of its proper divisors (81915170689).

102100211000111 is a wasteful number, since it uses less digits than its factorization.

102100211000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099209.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102100211000111 its reverse (111000112001201), we get a palindrome (213100323001312).

The spelling of 102100211000111 in words is "one hundred two trillion, one hundred billion, two hundred eleven million, one hundred eleven", and thus it is an aban number.