1011012001101 has 12 divisors (see below), whose sum is σ = 1460592646812. Its totient is φ = 673896318336.

The previous prime is 1011012001081. The next prime is 1011012001117. The reversal of 1011012001101 is 1011002101101.

It can be written as a sum of positive squares in 2 ways, for example, as 244529261001 + 766482740100 = 494499^2 + 875490^2 .

It is not a de Polignac number, because 1011012001101 - 2³³ = 1002422066509 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011012001141) 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, 9249516 + ... + 9358181.

It is an arithmetic number, because the mean of its divisors is an integer number (121716053901).

Almost surely, 2^{1011012001101} is an apocalyptic number.

It is an amenable number.

1011012001101 is a deficient number, since it is larger than the sum of its proper divisors (449580645711).

1011012001101 is a wasteful number, since it uses less digits than its factorization.

1011012001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18613740 (or 18613737 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011012001101 its reverse (1011002101101), we get a palindrome (2022014102202).

The spelling of 1011012001101 in words is "one trillion, eleven billion, twelve million, one thousand, one hundred one".