101111010001011 has 24 divisors (see below), whose sum is σ = 151090326220080. Its totient is φ = 65080834330176.

The previous prime is 101111010000991. The next prime is 101111010001081. The reversal of 101111010001011 is 110100010111101.

It is not a de Polignac number, because 101111010001011 - 2²¹ = 101111007903859 is a prime.

It is a super-4 number, since 4×101111010001011⁴ (a number of 57 digits) contains 4444 as substring.

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 = 101111010000984 and 101111010001002.

It is not an unprimeable number, because it can be changed into a prime (101111010001081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1774500 + ... + 14330766.

It is an arithmetic number, because the mean of its divisors is an integer number (6295430259170).

Almost surely, 2^{101111010001011} is an apocalyptic number.

101111010001011 is a deficient number, since it is larger than the sum of its proper divisors (49979316219069).

101111010001011 is a wasteful number, since it uses less digits than its factorization.

101111010001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12587155 (or 12587152 counting only the distinct ones).

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

Adding to 101111010001011 its reverse (110100010111101), we get a palindrome (211211020112112).

The spelling of 101111010001011 in words is "one hundred one trillion, one hundred eleven billion, ten million, one thousand, eleven".