201120121012101 has 32 divisors (see below), whose sum is σ = 291610048560768. Its totient is φ = 122781611704320.

The previous prime is 201120121012079. The next prime is 201120121012147. The reversal of 201120121012101 is 101210121021102.

It is a happy number.

It is not a de Polignac number, because 201120121012101 - 2⁴² = 196722074500997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201120121412101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462254181 + ... + 462689061.

It is an arithmetic number, because the mean of its divisors is an integer number (9112814017524).

Almost surely, 2^{201120121012101} is an apocalyptic number.

It is an amenable number.

201120121012101 is a deficient number, since it is larger than the sum of its proper divisors (90489927548667).

201120121012101 is a wasteful number, since it uses less digits than its factorization.

201120121012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680021.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201120121012101 its reverse (101210121021102), we get a palindrome (302330242033203).

Subtracting from 201120121012101 its reverse (101210121021102), we obtain a palindrome (99909999990999).

The spelling of 201120121012101 in words is "two hundred one trillion, one hundred twenty billion, one hundred twenty-one million, twelve thousand, one hundred one".