10111039471104 has 1280 divisors, whose sum is σ = 34939219746816. Its totient is φ = 2549927116800.

The previous prime is 10111039471069. The next prime is 10111039471111. The reversal of 10111039471104 is 40117493011101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13080257662 + ... + 13080258434.

Almost surely, 2^{10111039471104} 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 10111039471104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17469609873408).

10111039471104 is an abundant number, since it is smaller than the sum of its proper divisors (24828180275712).

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

10111039471104 is a wasteful number, since it uses less digits than its factorization.

10111039471104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The spelling of 10111039471104 in words is "ten trillion, one hundred eleven billion, thirty-nine million, four hundred seventy-one thousand, one hundred four".