101101120211101 has 4 divisors (see below), whose sum is σ = 101101142043612. Its totient is φ = 101101098378592.

The previous prime is 101101120211093. The next prime is 101101120211107. The reversal of 101101120211101 is 101112021101101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 33139249488900 + 67961870722201 = 5756670^2 + 8243899^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101120211101 - 2³ = 101101120211093 is a prime.

It is a super-2 number, since 2×101101120211101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101120211107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 917050 + ... + 14249323.

It is an arithmetic number, because the mean of its divisors is an integer number (25275285510903).

Almost surely, 2^{101101120211101} is an apocalyptic number.

It is an amenable number.

101101120211101 is a deficient number, since it is larger than the sum of its proper divisors (21832511).

101101120211101 is an equidigital number, since it uses as much as digits as its factorization.

101101120211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21832510.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101101120211101 its reverse (101112021101101), we get a palindrome (202213141312202).

The spelling of 101101120211101 in words is "one hundred one trillion, one hundred one billion, one hundred twenty million, two hundred eleven thousand, one hundred one".