101011111000011 has 12 divisors (see below), whose sum is σ = 145905235477560. Its totient is φ = 67340603420640.

The previous prime is 101011110999979. The next prime is 101011111000031. The reversal of 101011111000011 is 110000111110101.

It is not a de Polignac number, because 101011111000011 - 2⁵ = 101011110999979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101011110999957 and 101011111000002.

It is not an unprimeable number, because it can be changed into a prime (101011111000031) 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, 6671410 + ... + 15701271.

It is an arithmetic number, because the mean of its divisors is an integer number (12158769623130).

Almost surely, 2^{101011111000011} is an apocalyptic number.

101011111000011 is a deficient number, since it is larger than the sum of its proper divisors (44894124477549).

101011111000011 is a wasteful number, since it uses less digits than its factorization.

101011111000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22874346 (or 22874343 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101011111000011 its reverse (110000111110101), we get a palindrome (211011222110112).

The spelling of 101011111000011 in words is "one hundred one trillion, eleven billion, one hundred eleven million, eleven", and thus it is an aban number.