101122212121110 has 48 divisors (see below), whose sum is σ = 270023636699856. Its totient is φ = 26237114495424.

The previous prime is 101122212121019. The next prime is 101122212121141. The reversal of 101122212121110 is 11121212221101.

It is a happy number.

101122212121110 is a `hidden beast` number, since 10 + 112 + 221 + 212 + 1 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15183512004 + ... + 15183518663.

It is an arithmetic number, because the mean of its divisors is an integer number (5625492431247).

Almost surely, 2^{101122212121110} is an apocalyptic number.

101122212121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101122212121110 is an abundant number, since it is smaller than the sum of its proper divisors (168901424578746).

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

101122212121110 is a wasteful number, since it uses less digits than its factorization.

101122212121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30367030717 (or 30367030714 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101122212121110 its reverse (11121212221101), we get a palindrome (112243424342211).

Subtracting from 101122212121110 its reverse (11121212221101), we obtain a palindrome (90000999900009).

The spelling of 101122212121110 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twelve million, one hundred twenty-one thousand, one hundred ten".