102101202101201 has 8 divisors (see below), whose sum is σ = 103464023569704. Its totient is φ = 100745280995200.

The previous prime is 102101202101189. The next prime is 102101202101251.

102101202101201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 30146699341201 + 71954502760000 = 5490601^2 + 8482600^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102101202101201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102101202101251) 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, 1725060836 + ... + 1725120021.

It is an arithmetic number, because the mean of its divisors is an integer number (12933002946213).

Almost surely, 2^{102101202101201} is an apocalyptic number.

It is an amenable number.

102101202101201 is a deficient number, since it is larger than the sum of its proper divisors (1362821468503).

102101202101201 is a wasteful number, since it uses less digits than its factorization.

102101202101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450181251.

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

It can be divided in two parts, 10210120 and 2101201, that added together give a palindrome (12311321).

The spelling of 102101202101201 in words is "one hundred two trillion, one hundred one billion, two hundred two million, one hundred one thousand, two hundred one".