10000001101000 has 32 divisors (see below), whose sum is σ = 23400002578680. Its totient is φ = 4000000440000.

The previous prime is 10000001100983. The next prime is 10000001101009. The reversal of 10000001101000 is 10110000001.

It can be written as a sum of positive squares in 4 ways, for example, as 5105349288004 + 4894651812996 = 2259502^2 + 2212386^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (10000001101009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4999999551 + ... + 5000001550.

Almost surely, 2^{10000001101000} is an apocalyptic number.

10000001101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000001101000 is an abundant number, since it is smaller than the sum of its proper divisors (13400001477680).

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

10000001101000 is a wasteful number, since it uses less digits than its factorization.

10000001101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000001122 (or 10000001108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10000001101000 its reverse (10110000001), we get a palindrome (10010111101001).

The spelling of 10000001101000 in words is "ten trillion, one million, one hundred one thousand".