102100002111 has 12 divisors (see below), whose sum is σ = 147480557640. Its totient is φ = 68065386480.

The previous prime is 102100002097. The next prime is 102100002133. The reversal of 102100002111 is 111200001201.

It is a happy number.

It is not a de Polignac number, because 102100002111 - 2⁶ = 102100002047 is a prime.

It is a super-4 number, since 4×102100002111⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102100002093 and 102100002102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100002181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 833121 + ... + 947781.

It is an arithmetic number, because the mean of its divisors is an integer number (12290046470).

Almost surely, 2^102100002111 is an apocalyptic number.

102100002111 is a deficient number, since it is larger than the sum of its proper divisors (45380555529).

102100002111 is a wasteful number, since it uses less digits than its factorization.

102100002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213606 (or 213603 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102100002111 its reverse (111200001201), we get a palindrome (213300003312).

The spelling of 102100002111 in words is "one hundred two billion, one hundred million, two thousand, one hundred eleven".