101010111001011 has 24 divisors (see below), whose sum is σ = 146451044223744. Its totient is φ = 67087590338160.

The previous prime is 101010111000991. The next prime is 101010111001031. The reversal of 101010111001011 is 110100111010101.

It is an interprime number because it is at equal distance from previous prime (101010111000991) and next prime (101010111001031).

It is not a de Polignac number, because 101010111001011 - 2¹¹ = 101010110998963 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 = 101010111000984 and 101010111001002.

It is not an unprimeable number, because it can be changed into a prime (101010111001031) 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, 4438951 + ... + 14890416.

It is an arithmetic number, because the mean of its divisors is an integer number (6102126842656).

Almost surely, 2^{101010111001011} is an apocalyptic number.

101010111001011 is a deficient number, since it is larger than the sum of its proper divisors (45440933222733).

101010111001011 is a wasteful number, since it uses less digits than its factorization.

101010111001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19331551 (or 19331548 counting only the distinct ones).

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

Adding to 101010111001011 its reverse (110100111010101), we get a palindrome (211110222011112).

The spelling of 101010111001011 in words is "one hundred one trillion, ten billion, one hundred eleven million, one thousand, eleven".