10121120012034 has 112 divisors (see below), whose sum is σ = 23551336180800. Its totient is φ = 3256773192288.

The previous prime is 10121120012027. The next prime is 10121120012111. The reversal of 10121120012034 is 43021002112101.

10121120012034 is a `hidden beast` number, since 101 + 211 + 200 + 120 + 34 = 666.

It is a super-3 number, since 3×10121120012034³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10121120011998 and 10121120012016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 268852417 + ... + 268890059.

Almost surely, 2^{10121120012034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121120012034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11775668090400).

10121120012034 is an abundant number, since it is smaller than the sum of its proper divisors (13430216168766).

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

10121120012034 is an equidigital number, since it uses as much as digits as its factorization.

10121120012034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44051 (or 44036 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10121120012034 its reverse (43021002112101), we get a palindrome (53142122124135).

The spelling of 10121120012034 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, twelve thousand, thirty-four".