10121011110 has 96 divisors (see below), whose sum is σ = 30340215360. Its totient is φ = 2292885504.

The previous prime is 10121011091. The next prime is 10121011111. The reversal of 10121011110 is 1111012101.

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 = 10121011092 and 10121011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121011111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106 + ... + 142274.

It is an arithmetic number, because the mean of its divisors is an integer number (316043910).

Almost surely, 2^10121011110 is an apocalyptic number.

10121011110 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 10121011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15170107680).

10121011110 is an abundant number, since it is smaller than the sum of its proper divisors (20219204250).

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

10121011110 is a wasteful number, since it uses less digits than its factorization.

10121011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142302 (or 142299 counting only the distinct ones).

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

Adding to 10121011110 its reverse (1111012101), we get a palindrome (11232023211).

Subtracting from 10121011110 its reverse (1111012101), we obtain a palindrome (9009999009).

The spelling of 10121011110 in words is "ten billion, one hundred twenty-one million, eleven thousand, one hundred ten".