102012201022001 has 16 divisors (see below), whose sum is σ = 103336297352640. Its totient is φ = 100696497807360.

The previous prime is 102012201021961. The next prime is 102012201022021. The reversal of 102012201022001 is 100220102210201.

It is a cyclic number.

It is not a de Polignac number, because 102012201022001 - 2¹⁸ = 102012200759857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102012201022021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207555521 + ... + 208046433.

It is an arithmetic number, because the mean of its divisors is an integer number (6458518584540).

Almost surely, 2^{102012201022001} is an apocalyptic number.

It is an amenable number.

102012201022001 is a deficient number, since it is larger than the sum of its proper divisors (1324096330639).

102012201022001 is a wasteful number, since it uses less digits than its factorization.

102012201022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499456.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102012201022001 its reverse (100220102210201), we get a palindrome (202232303232202).

The spelling of 102012201022001 in words is "one hundred two trillion, twelve billion, two hundred one million, twenty-two thousand, one".