10111014400 has 120 divisors (see below), whose sum is σ = 25284140640. Its totient is φ = 4006748160.

The previous prime is 10111014379. The next prime is 10111014427. The reversal of 10111014400 is 441011101.

It is a super-2 number, since 2×10111014400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1391577 + ... + 1398823.

It is an arithmetic number, because the mean of its divisors is an integer number (210701172).

Almost surely, 2^10111014400 is an apocalyptic number.

10111014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12642070320).

10111014400 is an abundant number, since it is smaller than the sum of its proper divisors (15173126240).

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

10111014400 is an equidigital number, since it uses as much as digits as its factorization.

10111014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7384 (or 7363 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10111014400 its reverse (441011101), we get a palindrome (10552025501).

The spelling of 10111014400 in words is "ten billion, one hundred eleven million, fourteen thousand, four hundred".