100202102110110 has 384 divisors, whose sum is σ = 329904707134464. Its totient is φ = 19146495191040.

The previous prime is 100202102110087. The next prime is 100202102110199. The reversal of 100202102110110 is 11011201202001.

It is a super-2 number, since 2×100202102110110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54379002 + ... + 56191458.

It is an arithmetic number, because the mean of its divisors is an integer number (859126841496).

Almost surely, 2^{100202102110110} is an apocalyptic number.

100202102110110 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 100202102110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164952353567232).

100202102110110 is an abundant number, since it is smaller than the sum of its proper divisors (229702605024354).

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

100202102110110 is a wasteful number, since it uses less digits than its factorization.

100202102110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812768 (or 1812761 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100202102110110 its reverse (11011201202001), we get a palindrome (111213303312111).

The spelling of 100202102110110 in words is "one hundred trillion, two hundred two billion, one hundred two million, one hundred ten thousand, one hundred ten".