101000001100011 has 64 divisors (see below), whose sum is σ = 148833128653440. Its totient is φ = 60542423101440.

The previous prime is 101000001099971. The next prime is 101000001100069. The reversal of 101000001100011 is 110001100000101.

It is not a de Polignac number, because 101000001100011 - 2¹⁵ = 101000001067243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101000001100711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 501147415 + ... + 501348911.

It is an arithmetic number, because the mean of its divisors is an integer number (2325517635210).

Almost surely, 2^{101000001100011} is an apocalyptic number.

101000001100011 is a deficient number, since it is larger than the sum of its proper divisors (47833127553429).

101000001100011 is a wasteful number, since it uses less digits than its factorization.

101000001100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203616.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101000001100011 its reverse (110001100000101), we get a palindrome (211001101100112).

The spelling of 101000001100011 in words is "one hundred one trillion, one million, one hundred thousand, eleven".