121200112201001 has 8 divisors (see below), whose sum is σ = 122410252878024. Its totient is φ = 119990170339200.

The previous prime is 121200112200949. The next prime is 121200112201009. The reversal of 121200112201001 is 100102211002121.

It can be written as a sum of positive squares in 4 ways, for example, as 25240063554601 + 95960048646400 = 5023949^2 + 9795920^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-121200112201001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121200112201009) 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, 48478346 + ... + 50917091.

It is an arithmetic number, because the mean of its divisors is an integer number (15301281609753).

Almost surely, 2^{121200112201001} is an apocalyptic number.

It is an amenable number.

121200112201001 is a deficient number, since it is larger than the sum of its proper divisors (1210140677023).

121200112201001 is a wasteful number, since it uses less digits than its factorization.

121200112201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99407611.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121200112201001 its reverse (100102211002121), we get a palindrome (221302323203122).

The spelling of 121200112201001 in words is "one hundred twenty-one trillion, two hundred billion, one hundred twelve million, two hundred one thousand, one".