201121221201101 has 8 divisors (see below), whose sum is σ = 222210658718784. Its totient is φ = 181060536733120.

The previous prime is 201121221201071. The next prime is 201121221201119. The reversal of 201121221201101 is 101102122121102.

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 201121221201101 - 2⁴² = 196723174689997 is a prime.

It is a super-2 number, since 2×201121221201101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 201121221201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201121221201161) 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, 257188262015 + ... + 257188262796.

It is an arithmetic number, because the mean of its divisors is an integer number (27776332339848).

Almost surely, 2^{201121221201101} is an apocalyptic number.

It is an amenable number.

201121221201101 is a deficient number, since it is larger than the sum of its proper divisors (21089437517683).

201121221201101 is a wasteful number, since it uses less digits than its factorization.

201121221201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514376524851.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 201121221201101 its reverse (101102122121102), we get a palindrome (302223343322203).

The spelling of 201121221201101 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred one thousand, one hundred one".