102000212002001 has 2 divisors, whose sum is σ = 102000212002002. Its totient is φ = 102000212002000.

The previous prime is 102000212001991. The next prime is 102000212002021. The reversal of 102000212002001 is 100200212000201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97141820163025 + 4858391838976 = 9856055^2 + 2204176^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000212002001 - 2²⁶ = 102000144893137 is a prime.

It is not a weakly prime, because it can be changed into another prime (102000212002021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000106001000 + 51000106001001.

It is an arithmetic number, because the mean of its divisors is an integer number (51000106001001).

Almost surely, 2^{102000212002001} is an apocalyptic number.

It is an amenable number.

102000212002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000212002001 is an equidigital number, since it uses as much as digits as its factorization.

102000212002001 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 102000212002001 its reverse (100200212000201), we get a palindrome (202200424002202).

The spelling of 102000212002001 in words is "one hundred two trillion, two hundred twelve million, two thousand, one".