1000102101201 has 28 divisors (see below), whose sum is σ = 1713676820992. Its totient is φ = 571486912056.

The previous prime is 1000102101199. The next prime is 1000102101209. The reversal of 1000102101201 is 1021012010001.

It is a happy number.

It is not a de Polignac number, because 1000102101201 - 2¹ = 1000102101199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000102101209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 97986481 + ... + 97996686.

Almost surely, 2^{1000102101201} is an apocalyptic number.

It is an amenable number.

1000102101201 is a deficient number, since it is larger than the sum of its proper divisors (713574719791).

1000102101201 is an frugal number, since it uses more digits than its factorization.

1000102101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195983192 (or 195983177 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000102101201 its reverse (1021012010001), we get a palindrome (2021114111202).

The spelling of 1000102101201 in words is "one trillion, one hundred two million, one hundred one thousand, two hundred one".