102201010120001 has 8 divisors (see below), whose sum is σ = 110089128297960. Its totient is φ = 94316677944192.

The previous prime is 102201010119977. The next prime is 102201010120039. The reversal of 102201010120001 is 100021010102201.

It can be written as a sum of positive squares in 4 ways, for example, as 741624102976 + 101459386017025 = 861176^2 + 10072705^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102201010120001 - 2¹⁸ = 102201009857857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102201010126001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 946444466 + ... + 946552443.

It is an arithmetic number, because the mean of its divisors is an integer number (13761141037245).

Almost surely, 2^{102201010120001} is an apocalyptic number.

It is an amenable number.

102201010120001 is a deficient number, since it is larger than the sum of its proper divisors (7888118177959).

102201010120001 is a wasteful number, since it uses less digits than its factorization.

102201010120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893001075.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102201010120001 its reverse (100021010102201), we get a palindrome (202222020222202).

The spelling of 102201010120001 in words is "one hundred two trillion, two hundred one billion, ten million, one hundred twenty thousand, one".