10101122120010 has 16 divisors (see below), whose sum is σ = 24242693088096. Its totient is φ = 2693632565328.

The previous prime is 10101122120003. The next prime is 10101122120021. The reversal of 10101122120010 is 1002122110101.

It is a super-3 number, since 3×10101122120010³ (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 7 ways as a sum of consecutive naturals, for example, 168352035304 + ... + 168352035363.

It is an arithmetic number, because the mean of its divisors is an integer number (1515168318006).

Almost surely, 2^{10101122120010} is an apocalyptic number.

10101122120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101122120010 is an abundant number, since it is smaller than the sum of its proper divisors (14141570968086).

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

10101122120010 is a wasteful number, since it uses less digits than its factorization.

10101122120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336704070677.

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

Adding to 10101122120010 its reverse (1002122110101), we get a palindrome (11103244230111).

Subtracting from 10101122120010 its reverse (1002122110101), we obtain a palindrome (9099000009909).

The spelling of 10101122120010 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty thousand, ten".