101122120012110 has 128 divisors (see below), whose sum is σ = 263735792640000. Its totient is φ = 24736896425472.

The previous prime is 101122120012093. The next prime is 101122120012127. The reversal of 101122120012110 is 11210021221101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101122120012093) and next prime (101122120012127).

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 101122120012110.

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 63 ways as a sum of consecutive naturals, for example, 13976830 + ... + 19939809.

It is an arithmetic number, because the mean of its divisors is an integer number (2060435880000).

Almost surely, 2^{101122120012110} is an apocalyptic number.

101122120012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101122120012110 is an abundant number, since it is smaller than the sum of its proper divisors (162613672627890).

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

101122120012110 is a wasteful number, since it uses less digits than its factorization.

101122120012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33916850.

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

Adding to 101122120012110 its reverse (11210021221101), we get a palindrome (112332141233211).

The spelling of 101122120012110 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty million, twelve thousand, one hundred ten".