102000012101001 has 16 divisors (see below), whose sum is σ = 172698433187200. Its totient is φ = 58285721200464.

The previous prime is 102000012100999. The next prime is 102000012101131. The reversal of 102000012101001 is 100101210000201.

It is a happy number.

It is not a de Polignac number, because 102000012101001 - 2¹ = 102000012100999 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 (102000012109001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269841301666 + ... + 269841302043.

It is an arithmetic number, because the mean of its divisors is an integer number (10793652074200).

Almost surely, 2^{102000012101001} is an apocalyptic number.

It is an amenable number.

102000012101001 is a deficient number, since it is larger than the sum of its proper divisors (70698421086199).

102000012101001 is an equidigital number, since it uses as much as digits as its factorization.

102000012101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539682603725 (or 539682603719 counting only the distinct ones).

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

Adding to 102000012101001 its reverse (100101210000201), we get a palindrome (202101222101202).

The spelling of 102000012101001 in words is "one hundred two trillion, twelve million, one hundred one thousand, one".