101100121021201 has 4 divisors (see below), whose sum is σ = 101100154682404. Its totient is φ = 101100087360000.

The previous prime is 101100121021177. The next prime is 101100121021279. The reversal of 101100121021201 is 102120121001101.

It is a happy number.

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 68288407142400 + 32811713878801 = 8263680^2 + 5728151^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100121021201 - 2¹³ = 101100121013009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100121021001) 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, 11830200 + ... + 18497401.

It is an arithmetic number, because the mean of its divisors is an integer number (25275038670601).

Almost surely, 2^{101100121021201} is an apocalyptic number.

It is an amenable number.

101100121021201 is a deficient number, since it is larger than the sum of its proper divisors (33661203).

101100121021201 is an equidigital number, since it uses as much as digits as its factorization.

101100121021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33661202.

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

Adding to 101100121021201 its reverse (102120121001101), we get a palindrome (203220242022302).

The spelling of 101100121021201 in words is "one hundred one trillion, one hundred billion, one hundred twenty-one million, twenty-one thousand, two hundred one".