101220110201101 has 8 divisors (see below), whose sum is σ = 102268789265720. Its totient is φ = 100171536703488.

The previous prime is 101220110201053. The next prime is 101220110201129. The reversal of 101220110201101 is 101102011022101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25046071206025 + 76174038995076 = 5004605^2 + 8727774^2 .

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 101220110201101 - 2³⁵ = 101185750462733 is a prime.

It is a super-2 number, since 2×101220110201101² (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 (101220110201191) 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, 24463446 + ... + 28300183.

It is an arithmetic number, because the mean of its divisors is an integer number (12783598658215).

Almost surely, 2^{101220110201101} is an apocalyptic number.

It is an amenable number.

101220110201101 is a deficient number, since it is larger than the sum of its proper divisors (1048679064619).

101220110201101 is an equidigital number, since it uses as much as digits as its factorization.

101220110201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52783503.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101220110201101 its reverse (101102011022101), we get a palindrome (202322121223202).

The spelling of 101220110201101 in words is "one hundred one trillion, two hundred twenty billion, one hundred ten million, two hundred one thousand, one hundred one".