121121221211001 has 16 divisors (see below), whose sum is σ = 195751468624320. Its totient is φ = 73406800733760.

The previous prime is 121121221210999. The next prime is 121121221211017. The reversal of 121121221211001 is 100112122121121.

It is a happy number.

121121221211001 is a `hidden beast` number, since 1 + 211 + 21 + 221 + 211 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 121121221211001 - 2¹ = 121121221210999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121121221211101) 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, 203907779520 + ... + 203907780113.

It is an arithmetic number, because the mean of its divisors is an integer number (12234466789020).

Almost surely, 2^{121121221211001} is an apocalyptic number.

121121221211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121121221211001 is a deficient number, since it is larger than the sum of its proper divisors (74630247413319).

121121221211001 is a wasteful number, since it uses less digits than its factorization.

121121221211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407815559653 (or 407815559647 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121121221211001 its reverse (100112122121121), we get a palindrome (221233343332122).

It can be divided in two parts, 1211 and 21221211001, that added together give a palindrome (21221212212).

The spelling of 121121221211001 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred eleven thousand, one".