102210201112110 has 256 divisors, whose sum is σ = 305898138040320. Its totient is φ = 21281182433280.

The previous prime is 102210201112067. The next prime is 102210201112133. The reversal of 102210201112110 is 11211102012201.

It is a happy number.

It is a super-2 number, since 2×102210201112110² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102210201112110.

It is a congruent number.

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, 199369786 + ... + 199881794.

It is an arithmetic number, because the mean of its divisors is an integer number (1194914601720).

Almost surely, 2^{102210201112110} is an apocalyptic number.

102210201112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210201112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152949069020160).

102210201112110 is an abundant number, since it is smaller than the sum of its proper divisors (203687936928210).

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

102210201112110 is a wasteful number, since it uses less digits than its factorization.

102210201112110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513003.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102210201112110 its reverse (11211102012201), we get a palindrome (113421303124311).

Subtracting from 102210201112110 its reverse (11211102012201), we obtain a palindrome (90999099099909).

The spelling of 102210201112110 in words is "one hundred two trillion, two hundred ten billion, two hundred one million, one hundred twelve thousand, one hundred ten".