1211101000101 has 6 divisors (see below), whose sum is σ = 1749368111270. Its totient is φ = 807400666728.

The previous prime is 1211101000093. The next prime is 1211101000133. The reversal of 1211101000101 is 1010001011121.

It can be written as a sum of positive squares in only one way, i.e., 990552420225 + 220548579876 = 995265^2 + 469626^2 .

It is not a de Polignac number, because 1211101000101 - 2³ = 1211101000093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 134566777789 = 1211101000101 / (1 + 2 + 1 + 1 + 1 + 0 + 1 + 0 + 0 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211101000141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67283388886 + ... + 67283388903.

Almost surely, 2^{1211101000101} is an apocalyptic number.

It is an amenable number.

1211101000101 is a deficient number, since it is larger than the sum of its proper divisors (538267111169).

1211101000101 is a wasteful number, since it uses less digits than its factorization.

1211101000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134566777795 (or 134566777792 counting only the distinct ones).

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

Adding to 1211101000101 its reverse (1010001011121), we get a palindrome (2221102011222).

It can be divided in two parts, 121110 and 1000101, that added together give a palindrome (1121211).

The spelling of 1211101000101 in words is "one trillion, two hundred eleven billion, one hundred one million, one hundred one", and thus it is an aban number.