1000101111101 has 8 divisors (see below), whose sum is σ = 1012811500344. Its totient is φ = 987439703040.

The previous prime is 1000101111013. The next prime is 1000101111167. The reversal of 1000101111101 is 1011111010001.

It can be written as a sum of positive squares in 4 ways, for example, as 58745155876 + 941355955225 = 242374^2 + 970235^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000101111101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000106111101) 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, 12204200 + ... + 12285873.

It is an arithmetic number, because the mean of its divisors is an integer number (126601437543).

Almost surely, 2^{1000101111101} is an apocalyptic number.

It is an amenable number.

1000101111101 is a deficient number, since it is larger than the sum of its proper divisors (12710389243).

1000101111101 is an equidigital number, since it uses as much as digits as its factorization.

1000101111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24490591.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1000101111101 its reverse (1011111010001), we get a palindrome (2011212121102).

The spelling of 1000101111101 in words is "one trillion, one hundred one million, one hundred eleven thousand, one hundred one".