101010121110 has 144 divisors (see below), whose sum is σ = 280168200000. Its totient is φ = 25243932672.

The previous prime is 101010121087. The next prime is 101010121123. The reversal of 101010121110 is 11121010101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101010121092 and 101010121101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6208266 + ... + 6224514.

It is an arithmetic number, because the mean of its divisors is an integer number (1945612500).

Almost surely, 2^101010121110 is an apocalyptic number.

101010121110 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 101010121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140084100000).

101010121110 is an abundant number, since it is smaller than the sum of its proper divisors (179158078890).

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

101010121110 is a wasteful number, since it uses less digits than its factorization.

101010121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16535 (or 16515 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101010121110 its reverse (11121010101), we get a palindrome (112131131211).

The spelling of 101010121110 in words is "one hundred one billion, ten million, one hundred twenty-one thousand, one hundred ten".