1010611001101 has 8 divisors (see below), whose sum is σ = 1088358304824. Its totient is φ = 932864839680.

The previous prime is 1010611001083. The next prime is 1010611001161. The reversal of 1010611001101 is 1011001160101.

1010611001101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6354481225 + 1004256519876 = 79715^2 + 1002126^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010611001101 - 2⁵ = 1010611001069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010611001161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2736285 + ... + 3083581.

It is an arithmetic number, because the mean of its divisors is an integer number (136044788103).

Almost surely, 2^{1010611001101} is an apocalyptic number.

It is an amenable number.

1010611001101 is a deficient number, since it is larger than the sum of its proper divisors (77747303723).

1010611001101 is a wasteful number, since it uses less digits than its factorization.

1010611001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571151.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 1010611001101 its reverse (1011001160101), we get a palindrome (2021612161202).

The spelling of 1010611001101 in words is "one trillion, ten billion, six hundred eleven million, one thousand, one hundred one".