101011001001111 has 12 divisors (see below), whose sum is σ = 145907065064488. Its totient is φ = 67339612330704.

The previous prime is 101011001001077. The next prime is 101011001001133. The reversal of 101011001001111 is 111100100110101.

It is not a de Polignac number, because 101011001001111 - 2⁹ = 101011001000599 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011001001093 and 101011001001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011001001161) 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, 87310345 + ... + 88459698.

Almost surely, 2^{101011001001111} is an apocalyptic number.

101011001001111 is a deficient number, since it is larger than the sum of its proper divisors (44896064063377).

101011001001111 is a wasteful number, since it uses less digits than its factorization.

101011001001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175833902 (or 175833899 counting only the distinct ones).

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

Adding to 101011001001111 its reverse (111100100110101), we get a palindrome (212111101111212).

The spelling of 101011001001111 in words is "one hundred one trillion, eleven billion, one million, one thousand, one hundred eleven".