100122122210110 has 64 divisors (see below), whose sum is σ = 241973464610304. Its totient is φ = 28806364828800.

The previous prime is 100122122210107. The next prime is 100122122210113. The reversal of 100122122210110 is 11012221221001.

It is an interprime number because it is at equal distance from previous prime (100122122210107) and next prime (100122122210113).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122122210113) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5001094996 + ... + 5001115015.

It is an arithmetic number, because the mean of its divisors is an integer number (3780835384536).

Almost surely, 2^{100122122210110} is an apocalyptic number.

100122122210110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100122122210110 is an abundant number, since it is smaller than the sum of its proper divisors (141851342400194).

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

100122122210110 is a wasteful number, since it uses less digits than its factorization.

100122122210110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002210049.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100122122210110 its reverse (11012221221001), we get a palindrome (111134343431111).

The spelling of 100122122210110 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred ten thousand, one hundred ten".