100002211120110 has 128 divisors (see below), whose sum is σ = 267415370127360. Its totient is φ = 23763952396800.

The previous prime is 100002211120103. The next prime is 100002211120117. The reversal of 100002211120110 is 11021112200001.

It is an interprime number because it is at equal distance from previous prime (100002211120103) and next prime (100002211120117).

It is a super-2 number, since 2×100002211120110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002211120117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85271815 + ... + 86436605.

It is an arithmetic number, because the mean of its divisors is an integer number (2089182579120).

Almost surely, 2^{100002211120110} is an apocalyptic number.

100002211120110 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 100002211120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133707685063680).

100002211120110 is an abundant number, since it is smaller than the sum of its proper divisors (167413159007250).

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

100002211120110 is a wasteful number, since it uses less digits than its factorization.

100002211120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172434.

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

Adding to 100002211120110 its reverse (11021112200001), we get a palindrome (111023323320111).

The spelling of 100002211120110 in words is "one hundred trillion, two billion, two hundred eleven million, one hundred twenty thousand, one hundred ten".