121121212001 has 6 divisors (see below), whose sum is σ = 125154385506. Its totient is φ = 117214075200.

The previous prime is 121121211917. The next prime is 121121212057. The reversal of 121121212001 is 100212121121.

It can be written as a sum of positive squares in only one way, i.e., 83027541025 + 38093670976 = 288145^2 + 195176^2 .

It is not a de Polignac number, because 121121212001 - 2¹⁴ = 121121195617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121121212301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63017360 + ... + 63019281.

It is an arithmetic number, because the mean of its divisors is an integer number (20859064251).

Almost surely, 2^121121212001 is an apocalyptic number.

It is an amenable number.

121121212001 is a deficient number, since it is larger than the sum of its proper divisors (4033173505).

121121212001 is an equidigital number, since it uses as much as digits as its factorization.

121121212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126036703 (or 126036672 counting only the distinct ones).

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

Adding to 121121212001 its reverse (100212121121), we get a palindrome (221333333122).

The spelling of 121121212001 in words is "one hundred twenty-one billion, one hundred twenty-one million, two hundred twelve thousand, one".