102212101000111 has 8 divisors (see below), whose sum is σ = 102330077648400. Its totient is φ = 102094180955520.

The previous prime is 102212101000067. The next prime is 102212101000151. The reversal of 102212101000111 is 111000101212201.

It is a happy number.

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 102212101000111 - 2²⁷ = 102211966782383 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102212101000091 and 102212101000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212101000151) 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, 10536810 + ... + 17760871.

It is an arithmetic number, because the mean of its divisors is an integer number (12791259706050).

Almost surely, 2^{102212101000111} is an apocalyptic number.

102212101000111 is a deficient number, since it is larger than the sum of its proper divisors (117976648289).

102212101000111 is a wasteful number, since it uses less digits than its factorization.

102212101000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28301849.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102212101000111 its reverse (111000101212201), we get a palindrome (213212202212312).

The spelling of 102212101000111 in words is "one hundred two trillion, two hundred twelve billion, one hundred one million, one hundred eleven", and thus it is an aban number.