11121000101292 has 48 divisors (see below), whose sum is σ = 25967623127040. Its totient is φ = 3704340518208.

The previous prime is 11121000101291. The next prime is 11121000101297. The reversal of 11121000101292 is 29210100012111.

11121000101292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11121000101291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104878933 + ... + 104984915.

It is an arithmetic number, because the mean of its divisors is an integer number (540992148480).

Almost surely, 2^{11121000101292} is an apocalyptic number.

11121000101292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11121000101292 is an abundant number, since it is smaller than the sum of its proper divisors (14846623025748).

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

11121000101292 is a wasteful number, since it uses less digits than its factorization.

11121000101292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112182 (or 112180 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 11121000101292 in words is "eleven trillion, one hundred twenty-one billion, one hundred one thousand, two hundred ninety-two".