10111002000100 has 36 divisors (see below), whose sum is σ = 21942505288564. Its totient is φ = 4044100164480.

The previous prime is 10111002000097. The next prime is 10111002000101. The reversal of 10111002000100 is 100020011101.

10111002000100 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 6 ways, for example, as 770985851364 + 9340016148736 = 878058^2 + 3056144^2 .

It is a super-2 number, since 2×10111002000100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10111002000101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2403507 + ... + 5098906.

Almost surely, 2^{10111002000100} is an apocalyptic number.

10111002000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111002000100 is an abundant number, since it is smaller than the sum of its proper divisors (11831503288464).

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

10111002000100 is a wasteful number, since it uses less digits than its factorization.

10111002000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7515904 (or 7515897 counting only the distinct ones).

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

Adding to 10111002000100 its reverse (100020011101), we get a palindrome (10211022011201).

The spelling of 10111002000100 in words is "ten trillion, one hundred eleven billion, two million, one hundred", and thus it is an aban number.