100122101122110 has 64 divisors (see below), whose sum is σ = 255297361377600. Its totient is φ = 25081846013952.

The previous prime is 100122101122067. The next prime is 100122101122117. The reversal of 100122101122110 is 11221101221001.

It is a happy number.

It is a super-2 number, since 2×100122101122110² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100122101122110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122101122117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1555141795 + ... + 1555206174.

It is an arithmetic number, because the mean of its divisors is an integer number (3989021271525).

Almost surely, 2^{100122101122110} is an apocalyptic number.

100122101122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100122101122110 is an abundant number, since it is smaller than the sum of its proper divisors (155175260255490).

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

100122101122110 is a wasteful number, since it uses less digits than its factorization.

100122101122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110348045.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100122101122110 its reverse (11221101221001), we get a palindrome (111343202343111).

The spelling of 100122101122110 in words is "one hundred trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand, one hundred ten".