10100111101000 has 32 divisors (see below), whose sum is σ = 23634259978680. Its totient is φ = 4040044440000.

The previous prime is 10100111100997. The next prime is 10100111101001. The reversal of 10100111101000 is 10111100101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2282752330884 + 7817358770116 = 1510878^2 + 2795954^2 .

It is not an unprimeable number, because it can be changed into a prime (10100111101001) 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, 5050054551 + ... + 5050056550.

Almost surely, 2^{10100111101000} is an apocalyptic number.

10100111101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100111101000 is an abundant number, since it is smaller than the sum of its proper divisors (13534148877680).

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

10100111101000 is a wasteful number, since it uses less digits than its factorization.

10100111101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100111122 (or 10100111108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100111101000 its reverse (10111100101), we get a palindrome (10110222201101).

The spelling of 10100111101000 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred one thousand".