102211112112102 has 48 divisors (see below), whose sum is σ = 253096721459712. Its totient is φ = 29202881917680.

The previous prime is 102211112112047. The next prime is 102211112112107. The reversal of 102211112112102 is 201211211112201.

It is a happy number.

102211112112102 is a `hidden beast` number, since 10 + 221 + 1 + 11 + 211 + 210 + 2 = 666.

It is a super-2 number, since 2×102211112112102² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211112112107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8698723 + ... + 16735889.

It is an arithmetic number, because the mean of its divisors is an integer number (5272848363744).

Almost surely, 2^{102211112112102} is an apocalyptic number.

102211112112102 is an abundant number, since it is smaller than the sum of its proper divisors (150885609347610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102211112112102 is a wasteful number, since it uses less digits than its factorization.

102211112112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8138113 (or 8138110 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102211112112102 its reverse (201211211112201), we get a palindrome (303422323224303).

Subtracting 102211112112102 from its reverse (201211211112201), we obtain a palindrome (99000099000099).

The spelling of 102211112112102 in words is "one hundred two trillion, two hundred eleven billion, one hundred twelve million, one hundred twelve thousand, one hundred two".