10111121354000 has 40 divisors (see below), whose sum is σ = 24448691438808. Its totient is φ = 4044448540800.

The previous prime is 10111121353979. The next prime is 10111121354003. The reversal of 10111121354000 is 45312111101.

It can be written as a sum of positive squares in 4 ways, for example, as 2484885627904 + 7626235726096 = 1576352^2 + 2761564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10111121354003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2527778339 + ... + 2527782338.

Almost surely, 2^{10111121354000} is an apocalyptic number.

10111121354000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111121354000 is an abundant number, since it is smaller than the sum of its proper divisors (14337570084808).

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

10111121354000 is an equidigital number, since it uses as much as digits as its factorization.

10111121354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055560700 (or 5055560684 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 10111121354000 its reverse (45312111101), we get a palindrome (10156433465101).

The spelling of 10111121354000 in words is "ten trillion, one hundred eleven billion, one hundred twenty-one million, three hundred fifty-four thousand".