1022001200101 has 48 divisors (see below), whose sum is σ = 1335786007680. Its totient is φ = 775257584640.

The previous prime is 1022001200081. The next prime is 1022001200113. The reversal of 1022001200101 is 1010021002201.

It is not a de Polignac number, because 1022001200101 - 2²⁹ = 1021464329189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022001200191) 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 47 ways as a sum of consecutive naturals, for example, 678321 + ... + 1582441.

It is an arithmetic number, because the mean of its divisors is an integer number (27828875160).

Almost surely, 2^{1022001200101} is an apocalyptic number.

It is an amenable number.

1022001200101 is a deficient number, since it is larger than the sum of its proper divisors (313784807579).

1022001200101 is a wasteful number, since it uses less digits than its factorization.

1022001200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904234 (or 904227 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1022001200101 its reverse (1010021002201), we get a palindrome (2032022202302).

The spelling of 1022001200101 in words is "one trillion, twenty-two billion, one million, two hundred thousand, one hundred one".