102111002111 has 16 divisors (see below), whose sum is σ = 110509056000. Its totient is φ = 94042961568.

The previous prime is 102111002087. The next prime is 102111002113. The reversal of 102111002111 is 111200111201.

It is a cyclic number.

It is not a de Polignac number, because 102111002111 - 2²⁶ = 102043893247 is a prime.

It is a super-2 number, since 2×102111002111² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102111002092 and 102111002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111002113) 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, 250655 + ... + 516768.

It is an arithmetic number, because the mean of its divisors is an integer number (6906816000).

Almost surely, 2^102111002111 is an apocalyptic number.

102111002111 is a deficient number, since it is larger than the sum of its proper divisors (8398053889).

102111002111 is a wasteful number, since it uses less digits than its factorization.

102111002111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767638.

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

Adding to 102111002111 its reverse (111200111201), we get a palindrome (213311113312).

The spelling of 102111002111 in words is "one hundred two billion, one hundred eleven million, two thousand, one hundred eleven".