10001101000096 has 12 divisors (see below), whose sum is σ = 19689667594002. Its totient is φ = 5000550500032.

The previous prime is 10001101000087. The next prime is 10001101000097. The reversal of 10001101000096 is 69000010110001.

It can be written as a sum of positive squares in only one way, i.e., 9961825687696 + 39275312400 = 3156236^2 + 198180^2 .

It is a super-2 number, since 2×10001101000096² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001101000097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156267203095 + ... + 156267203158.

Almost surely, 2^{10001101000096} is an apocalyptic number.

10001101000096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10001101000096 is a deficient number, since it is larger than the sum of its proper divisors (9688566593906).

10001101000096 is an equidigital number, since it uses as much as digits as its factorization.

10001101000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312534406263 (or 312534406255 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 10001101000096 its reverse (69000010110001), we get a palindrome (79001111110097).

The spelling of 10001101000096 in words is "ten trillion, one billion, one hundred one million, ninety-six", and thus it is an aban number.