1010001101011 has 16 divisors (see below), whose sum is σ = 1173931200000. Its totient is φ = 850984060608.

The previous prime is 1010001101009. The next prime is 1010001101141. The reversal of 1010001101011 is 1101011000101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1010001101011 - 2¹ = 1010001101009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010001100985 and 1010001101003.

It is not an unprimeable number, because it can be changed into a prime (1010001101311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6635586 + ... + 6786088.

It is an arithmetic number, because the mean of its divisors is an integer number (73370700000).

Almost surely, 2^{1010001101011} is an apocalyptic number.

1010001101011 is a deficient number, since it is larger than the sum of its proper divisors (163930098989).

1010001101011 is a wasteful number, since it uses less digits than its factorization.

1010001101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166818.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1010001101011 its reverse (1101011000101), we get a palindrome (2111012101112).

The spelling of 1010001101011 in words is "one trillion, ten billion, one million, one hundred one thousand, eleven".