101112121110 has 1024 divisors, whose sum is σ = 364570730496. Its totient is φ = 17252352000.

The previous prime is 101112121109. The next prime is 101112121157. The reversal of 101112121110 is 11121211101.

It is a super-2 number, since 2×101112121110² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1001110060 + ... + 1001110160.

It is an arithmetic number, because the mean of its divisors is an integer number (356026104).

Almost surely, 2^101112121110 is an apocalyptic number.

101112121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182285365248).

101112121110 is an abundant number, since it is smaller than the sum of its proper divisors (263458609386).

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

101112121110 is a wasteful number, since it uses less digits than its factorization.

101112121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101112121110 its reverse (11121211101), we get a palindrome (112233332211).

It can be divided in two parts, 101112 and 121110, that added together give a palindrome (222222).

The spelling of 101112121110 in words is "one hundred one billion, one hundred twelve million, one hundred twenty-one thousand, one hundred ten".