100102022022001 has 2 divisors, whose sum is σ = 100102022022002. Its totient is φ = 100102022022000.

The previous prime is 100102022021927. The next prime is 100102022022019. The reversal of 100102022022001 is 100220220201001.

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., 62019546812001 + 38082475210000 = 7875249^2 + 6171100^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100102022022001 is a prime.

It is not a weakly prime, because it can be changed into another prime (100102026022001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051011011000 + 50051011011001.

It is an arithmetic number, because the mean of its divisors is an integer number (50051011011001).

Almost surely, 2^{100102022022001} is an apocalyptic number.

It is an amenable number.

100102022022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102022022001 is an equidigital number, since it uses as much as digits as its factorization.

100102022022001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100102022022001 its reverse (100220220201001), we get a palindrome (200322242223002).

The spelling of 100102022022001 in words is "one hundred trillion, one hundred two billion, twenty-two million, twenty-two thousand, one".