6000101011104 has 192 divisors, whose sum is σ = 16344358474752. Its totient is φ = 1925738496000.

The previous prime is 6000101011087. The next prime is 6000101011129. The reversal of 6000101011104 is 4011101010006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136164944 + ... + 1136170224.

It is an arithmetic number, because the mean of its divisors is an integer number (85126867056).

Almost surely, 2^{6000101011104} 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 6000101011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8172179237376).

6000101011104 is an abundant number, since it is smaller than the sum of its proper divisors (10344257463648).

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

6000101011104 is a wasteful number, since it uses less digits than its factorization.

6000101011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8599 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The spelling of 6000101011104 in words is "six trillion, one hundred one million, eleven thousand, one hundred four".