10121111122112 has 112 divisors (see below), whose sum is σ = 21262481264640. Its totient is φ = 4772270131200.

The previous prime is 10121111122091. The next prime is 10121111122147. The reversal of 10121111122112 is 21122111112101.

It is a super-2 number, since 2×10121111122112² (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 69802073 + ... + 69946919.

It is an arithmetic number, because the mean of its divisors is an integer number (189843582720).

Almost surely, 2^{10121111122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121111122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10631240632320).

10121111122112 is an abundant number, since it is smaller than the sum of its proper divisors (11141370142528).

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

10121111122112 is a wasteful number, since it uses less digits than its factorization.

10121111122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145790 (or 145780 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 10121111122112 its reverse (21122111112101), we get a palindrome (31243222234213).

The spelling of 10121111122112 in words is "ten trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twelve".