1021214121201 has 24 divisors (see below), whose sum is σ = 1506208421640. Its totient is φ = 666581861376.

The previous prime is 1021214121197. The next prime is 1021214121253.

1021214121201 is a `hidden beast` number, since 10 + 2 + 121 + 412 + 120 + 1 = 666.

1021214121201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 342196920576 + 679017200625 = 584976^2 + 824025^2 .

It is not a de Polignac number, because 1021214121201 - 2² = 1021214121197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1021214121281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5582836 + ... + 5762853.

It is an arithmetic number, because the mean of its divisors is an integer number (62758684235).

Almost surely, 2^{1021214121201} is an apocalyptic number.

It is an amenable number.

1021214121201 is a deficient number, since it is larger than the sum of its proper divisors (484994300439).

1021214121201 is a wasteful number, since it uses less digits than its factorization.

1021214121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11345905 (or 11345902 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 1021214121201 in words is "one trillion, twenty-one billion, two hundred fourteen million, one hundred twenty-one thousand, two hundred one".