102111201000201 has 16 divisors (see below), whose sum is σ = 137496888548928. Its totient is φ = 67399829784000.

The previous prime is 102111201000143. The next prime is 102111201000209. The reversal of 102111201000201 is 102000102111201.

It is not a de Polignac number, because 102111201000201 - 2¹⁰ = 102111200999177 is a prime.

It is a super-3 number, since 3×102111201000201³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102111201000209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81499471 + ... + 82742891.

It is an arithmetic number, because the mean of its divisors is an integer number (8593555534308).

Almost surely, 2^{102111201000201} is an apocalyptic number.

It is an amenable number.

102111201000201 is a deficient number, since it is larger than the sum of its proper divisors (35385687548727).

102111201000201 is a wasteful number, since it uses less digits than its factorization.

102111201000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514552.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102111201000201 its reverse (102000102111201), we get a palindrome (204111303111402).

The spelling of 102111201000201 in words is "one hundred two trillion, one hundred eleven billion, two hundred one million, two hundred one", and thus it is an aban number.