102111111122202 has 256 divisors, whose sum is σ = 280062585815040. Its totient is φ = 26854832793600.

The previous prime is 102111111122197. The next prime is 102111111122263. The reversal of 102111111122202 is 202221111111201.

It is a happy number.

102111111122202 is a `hidden beast` number, since 10 + 211 + 111 + 112 + 220 + 2 = 666.

It is a super-2 number, since 2×102111111122202² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4814053377 + ... + 4814074587.

It is an arithmetic number, because the mean of its divisors is an integer number (1093994475840).

Almost surely, 2^{102111111122202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111111122202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140031292907520).

102111111122202 is an abundant number, since it is smaller than the sum of its proper divisors (177951474692838).

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

102111111122202 is a wasteful number, since it uses less digits than its factorization.

102111111122202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23946 (or 23940 counting only the distinct ones).

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

Adding to 102111111122202 its reverse (202221111111201), we get a palindrome (304332222233403).

The spelling of 102111111122202 in words is "one hundred two trillion, one hundred eleven billion, one hundred eleven million, one hundred twenty-two thousand, two hundred two".