10121002110 has 256 divisors, whose sum is σ = 29169745920. Its totient is φ = 2490808320.

The previous prime is 10121002097. The next prime is 10121002181. The reversal of 10121002110 is 1120012101.

It is a happy number.

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 = 10121002092 and 10121002101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32335314 + ... + 32335626.

It is an arithmetic number, because the mean of its divisors is an integer number (113944320).

Almost surely, 2^10121002110 is an apocalyptic number.

10121002110 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 10121002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14584872960).

10121002110 is an abundant number, since it is smaller than the sum of its proper divisors (19048743810).

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

10121002110 is a wasteful number, since it uses less digits than its factorization.

10121002110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10121002110 its reverse (1120012101), we get a palindrome (11241014211).

Subtracting from 10121002110 its reverse (1120012101), we obtain a palindrome (9000990009).

The spelling of 10121002110 in words is "ten billion, one hundred twenty-one million, two thousand, one hundred ten".