1022121118001 has 2 divisors, whose sum is σ = 1022121118002. Its totient is φ = 1022121118000.

The previous prime is 1022121117973. The next prime is 1022121118027. The reversal of 1022121118001 is 1008111212201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 834847690000 + 187273428001 = 913700^2 + 432751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1022121118001 is a prime.

It is a super-2 number, since 2×1022121118001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1022121118091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511060559000 + 511060559001.

It is an arithmetic number, because the mean of its divisors is an integer number (511060559001).

Almost surely, 2^{1022121118001} is an apocalyptic number.

It is an amenable number.

1022121118001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022121118001 is an equidigital number, since it uses as much as digits as its factorization.

1022121118001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 20.

The spelling of 1022121118001 in words is "one trillion, twenty-two billion, one hundred twenty-one million, one hundred eighteen thousand, one".