10010001101000 has 64 divisors (see below), whose sum is σ = 23753309823360. Its totient is φ = 3947606040000.

The previous prime is 10010001100999. The next prime is 10010001101017. The reversal of 10010001101000 is 10110001001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70421966 + ... + 70563965.

It is an arithmetic number, because the mean of its divisors is an integer number (371145465990).

Almost surely, 2^{10010001101000} is an apocalyptic number.

10010001101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010001101000 is an abundant number, since it is smaller than the sum of its proper divisors (13743308722360).

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

10010001101000 is a wasteful number, since it uses less digits than its factorization.

10010001101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140986023 (or 140986009 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10010001101000 its reverse (10110001001), we get a palindrome (10020111102001).

The spelling of 10010001101000 in words is "ten trillion, ten billion, one million, one hundred one thousand".