121221201001001 has 64 divisors (see below), whose sum is σ = 137360284185600. Its totient is φ = 106521921792000.

The previous prime is 121221201000973. The next prime is 121221201001013. The reversal of 121221201001001 is 100100102122121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-121221201001001 is a prime.

It is a super-3 number, since 3×121221201001001³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (121221201001031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195680135 + ... + 196298643.

It is an arithmetic number, because the mean of its divisors is an integer number (2146254440400).

Almost surely, 2^{121221201001001} is an apocalyptic number.

It is an amenable number.

121221201001001 is a deficient number, since it is larger than the sum of its proper divisors (16139083184599).

121221201001001 is a wasteful number, since it uses less digits than its factorization.

121221201001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618770.

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

Adding to 121221201001001 its reverse (100100102122121), we get a palindrome (221321303123122).

The spelling of 121221201001001 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred one million, one thousand, one".