101000001110099 has 48 divisors (see below), whose sum is σ = 126833857426080. Its totient is φ = 79718625100800.

The previous prime is 101000001110089. The next prime is 101000001110131. The reversal of 101000001110099 is 990011100000101.

It is a happy number.

It is not a de Polignac number, because 101000001110099 - 2¹² = 101000001106003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101000001110069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3646063949 + ... + 3646091649.

It is an arithmetic number, because the mean of its divisors is an integer number (2642372029710).

Almost surely, 2^{101000001110099} is an apocalyptic number.

101000001110099 is a deficient number, since it is larger than the sum of its proper divisors (25833856315981).

101000001110099 is a wasteful number, since it uses less digits than its factorization.

101000001110099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41380 (or 41373 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 101000001110099 in words is "one hundred one trillion, one million, one hundred ten thousand, ninety-nine".