1002020212001 has 2 divisors, whose sum is σ = 1002020212002. Its totient is φ = 1002020212000.

The previous prime is 1002020211971. The next prime is 1002020212003. The reversal of 1002020212001 is 1002120202001.

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., 974356539025 + 27663672976 = 987095^2 + 166324^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002020212001 - 2²² = 1002016017697 is a prime.

Together with 1002020212003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1002020212003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501010106000 + 501010106001.

It is an arithmetic number, because the mean of its divisors is an integer number (501010106001).

Almost surely, 2^{1002020212001} is an apocalyptic number.

It is an amenable number.

1002020212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002020212001 is an equidigital number, since it uses as much as digits as its factorization.

1002020212001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002020212001 its reverse (1002120202001), we get a palindrome (2004140414002).

The spelling of 1002020212001 in words is "one trillion, two billion, twenty million, two hundred twelve thousand, one".