10110122120010 has 384 divisors, whose sum is σ = 28317096840960. Its totient is φ = 2288100864000.

The previous prime is 10110122119991. The next prime is 10110122120027. The reversal of 10110122120010 is 1002122101101.

10110122120010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10110122120010³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1787185102 + ... + 1787190758.

It is an arithmetic number, because the mean of its divisors is an integer number (73742439690).

Almost surely, 2^{10110122120010} is an apocalyptic number.

10110122120010 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 10110122120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14158548420480).

10110122120010 is an abundant number, since it is smaller than the sum of its proper divisors (18206974720950).

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

10110122120010 is a wasteful number, since it uses less digits than its factorization.

10110122120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894 (or 5851 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10110122120010 its reverse (1002122101101), we get a palindrome (11112244221111).

It can be divided in two parts, 101101 and 22120010, that added together give a triangular number (22221111 = T₆₆₆₆).

The spelling of 10110122120010 in words is "ten trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, ten".