101020002029201 has 2 divisors, whose sum is σ = 101020002029202. Its totient is φ = 101020002029200.

The previous prime is 101020002029143. The next prime is 101020002029203. The reversal of 101020002029201 is 102920200020101.

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., 87786405913600 + 13233596115601 = 9369440^2 + 3637801^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020002029201 - 2⁴⁶ = 30651257851537 is a prime.

Together with 101020002029203, 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 (101020002029203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510001014600 + 50510001014601.

It is an arithmetic number, because the mean of its divisors is an integer number (50510001014601).

Almost surely, 2^{101020002029201} is an apocalyptic number.

It is an amenable number.

101020002029201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020002029201 is an equidigital number, since it uses as much as digits as its factorization.

101020002029201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101020002029201 its reverse (102920200020101), we get a palindrome (203940202049302).

The spelling of 101020002029201 in words is "one hundred one trillion, twenty billion, two million, twenty-nine thousand, two hundred one".