10011102001000 has 128 divisors (see below), whose sum is σ = 25271979276960. Its totient is φ = 3697774080000.

The previous prime is 10011102000971. The next prime is 10011102001001. The reversal of 10011102001000 is 10020111001.

10011102001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1498513843044 + 8512588157956 = 1224138^2 + 2917634^2 .

It is not an unprimeable number, because it can be changed into a prime (10011102001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4654551 + ... + 6456550.

Almost surely, 2^{10011102001000} is an apocalyptic number.

10011102001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011102001000 is an abundant number, since it is smaller than the sum of its proper divisors (15260877275960).

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

10011102001000 is a wasteful number, since it uses less digits than its factorization.

10011102001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11111192 (or 11111178 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10011102001000 its reverse (10020111001), we get a palindrome (10021122112001).

The spelling of 10011102001000 in words is "ten trillion, eleven billion, one hundred two million, one thousand".