100122210121110 has 64 divisors (see below), whose sum is σ = 254453811251904. Its totient is φ = 25126182502400.

The previous prime is 100122210121099. The next prime is 100122210121121. The reversal of 100122210121110 is 11121012221001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100122210121099) and next prime (100122210121121).

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100122210121110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4804251 + ... + 14944070.

It is an arithmetic number, because the mean of its divisors is an integer number (3975840800811).

Almost surely, 2^{100122210121110} is an apocalyptic number.

100122210121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100122210121110 is an abundant number, since it is smaller than the sum of its proper divisors (154331601130794).

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

100122210121110 is a wasteful number, since it uses less digits than its factorization.

100122210121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19758289.

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

Adding to 100122210121110 its reverse (11121012221001), we get a palindrome (111243222342111).

The spelling of 100122210121110 in words is "one hundred trillion, one hundred twenty-two billion, two hundred ten million, one hundred twenty-one thousand, one hundred ten".