110102202002100 has 288 divisors, whose sum is σ = 397180360829952. Its totient is φ = 22877706240000.

The previous prime is 110102202002099. The next prime is 110102202002119. The reversal of 110102202002100 is 1200202201011.

It is a super-2 number, since 2×110102202002100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1333544820 + ... + 1333627380.

It is an arithmetic number, because the mean of its divisors is an integer number (1379098475104).

Almost surely, 2^{110102202002100} is an apocalyptic number.

110102202002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110102202002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198590180414976).

110102202002100 is an abundant number, since it is smaller than the sum of its proper divisors (287078158827852).

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

110102202002100 is a wasteful number, since it uses less digits than its factorization.

110102202002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140327 (or 140320 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110102202002100 its reverse (1200202201011), we get a palindrome (111302404203111).

The spelling of 110102202002100 in words is "one hundred ten trillion, one hundred two billion, two hundred two million, two thousand, one hundred".