102120101021201 has 16 divisors (see below), whose sum is σ = 109906325665488. Its totient is φ = 94531749580800.

The previous prime is 102120101021189. The next prime is 102120101021207.

102120101021201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 9434425545601 + 92685675475600 = 3071551^2 + 9627340^2 .

It is not a de Polignac number, because 102120101021201 - 2¹⁰ = 102120101020177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102120101021207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14419241 + ... + 20301593.

It is an arithmetic number, because the mean of its divisors is an integer number (6869145354093).

Almost surely, 2^{102120101021201} is an apocalyptic number.

It is an amenable number.

102120101021201 is a deficient number, since it is larger than the sum of its proper divisors (7786224644287).

102120101021201 is a wasteful number, since it uses less digits than its factorization.

102120101021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5899172.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 10212010 and 1021201, that added together give a palindrome (11233211).

The spelling of 102120101021201 in words is "one hundred two trillion, one hundred twenty billion, one hundred one million, twenty-one thousand, two hundred one".