901011001100000 has 288 divisors, whose sum is σ = 2576879364165120. Its totient is φ = 303682144320000.

The previous prime is 901011001099991. The next prime is 901011001100003. The reversal of 901011001100000 is 1100110109.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901011001100003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30391877 + ... + 52208123.

It is an arithmetic number, because the mean of its divisors is an integer number (8947497792240).

Almost surely, 2^{901011001100000} 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 901011001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288439682082560).

901011001100000 is an abundant number, since it is smaller than the sum of its proper divisors (1675868363065120).

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

901011001100000 is an equidigital number, since it uses as much as digits as its factorization.

901011001100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21816348 (or 21816320 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 901011001100000 its reverse (1100110109), we get a palindrome (901012101210109).

The spelling of 901011001100000 in words is "nine hundred one trillion, eleven billion, one million, one hundred thousand".