101221101121201 has 4 divisors (see below), whose sum is σ = 101223549606004. Its totient is φ = 101218652636400.

The previous prime is 101221101121177. The next prime is 101221101121237. The reversal of 101221101121201 is 102121101122101.

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 17173937781025 + 84047163340176 = 4144145^2 + 9167724^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221101121201 - 2¹⁵ = 101221101088433 is a prime.

It is a super-2 number, since 2×101221101121201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101221101121241) 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, 1224180390 + ... + 1224263071.

It is an arithmetic number, because the mean of its divisors is an integer number (25305887401501).

Almost surely, 2^{101221101121201} is an apocalyptic number.

It is an amenable number.

101221101121201 is a deficient number, since it is larger than the sum of its proper divisors (2448484803).

101221101121201 is an equidigital number, since it uses as much as digits as its factorization.

101221101121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448484802.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101221101121201 its reverse (102121101122101), we get a palindrome (203342202243302).

The spelling of 101221101121201 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-one thousand, two hundred one".