121201100101001 has 16 divisors (see below), whose sum is σ = 125591196149760. Its totient is φ = 116882472404880.

The previous prime is 121201100100961. The next prime is 121201100101007. The reversal of 121201100101001 is 100101001102121.

It is a cyclic number.

It is not a de Polignac number, because 121201100101001 - 2⁴² = 116803053589897 is a prime.

It is a super-2 number, since 2×121201100101001² (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 (121201100101007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344154116 + ... + 344506106.

It is an arithmetic number, because the mean of its divisors is an integer number (7849449759360).

Almost surely, 2^{121201100101001} is an apocalyptic number.

It is an amenable number.

121201100101001 is a deficient number, since it is larger than the sum of its proper divisors (4390096048759).

121201100101001 is a wasteful number, since it uses less digits than its factorization.

121201100101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453476.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 121201100101001 its reverse (100101001102121), we get a palindrome (221302101203122).

The spelling of 121201100101001 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred million, one hundred one thousand, one".