102002022201001 has 16 divisors (see below), whose sum is σ = 109985472861264. Its totient is φ = 94038222668544.

The previous prime is 102002022200999. The next prime is 102002022201031. The reversal of 102002022201001 is 100102220200201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 38129143014400 + 63872879186601 = 6174880^2 + 7992051^2 .

It is a cyclic number.

It is not a de Polignac number, because 102002022201001 - 2¹ = 102002022200999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (102002022201031) 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 15 ways as a sum of consecutive naturals, for example, 39958071 + ... + 42434083.

It is an arithmetic number, because the mean of its divisors is an integer number (6874092053829).

Almost surely, 2^{102002022201001} is an apocalyptic number.

It is an amenable number.

102002022201001 is a deficient number, since it is larger than the sum of its proper divisors (7983450660263).

102002022201001 is a wasteful number, since it uses less digits than its factorization.

102002022201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479980.

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

Adding to 102002022201001 its reverse (100102220200201), we get a palindrome (202104242401202).

The spelling of 102002022201001 in words is "one hundred two trillion, two billion, twenty-two million, two hundred one thousand, one".