100010222002110 has 256 divisors, whose sum is σ = 283083413760000. Its totient is φ = 22134767616000.

The previous prime is 100010222002109. The next prime is 100010222002133. The reversal of 100010222002110 is 11200222010001.

It is a super-2 number, since 2×100010222002110² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2435866702 + ... + 2435907758.

It is an arithmetic number, because the mean of its divisors is an integer number (1105794585000).

Almost surely, 2^{100010222002110} is an apocalyptic number.

100010222002110 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 100010222002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141541706880000).

100010222002110 is an abundant number, since it is smaller than the sum of its proper divisors (183073191757890).

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

100010222002110 is a wasteful number, since it uses less digits than its factorization.

100010222002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42611.

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

Adding to 100010222002110 its reverse (11200222010001), we get a palindrome (111210444012111).

The spelling of 100010222002110 in words is "one hundred trillion, ten billion, two hundred twenty-two million, two thousand, one hundred ten".