102210000100201 has 8 divisors (see below), whose sum is σ = 116812293266240. Its totient is φ = 87607923079248.

The previous prime is 102210000100189. The next prime is 102210000100211. The reversal of 102210000100201 is 102001000012201.

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 102210000100201 - 2¹¹ = 102210000098153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102210000100211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53021691 + ... + 54915568.

It is an arithmetic number, because the mean of its divisors is an integer number (14601536658280).

Almost surely, 2^{102210000100201} is an apocalyptic number.

It is an amenable number.

102210000100201 is a deficient number, since it is larger than the sum of its proper divisors (14602293166039).

102210000100201 is a wasteful number, since it uses less digits than its factorization.

102210000100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108072543.

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

Adding to 102210000100201 its reverse (102001000012201), we get a palindrome (204211000112402).

The spelling of 102210000100201 in words is "one hundred two trillion, two hundred ten billion, one hundred thousand, two hundred one".