102001102010001 has 10 divisors (see below), whose sum is σ = 152372016582962. Its totient is φ = 68000734673280.

The previous prime is 102001102009871. The next prime is 102001102010029. The reversal of 102001102010001 is 100010201100201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 53053727872401 + 48947374137600 = 7283799^2 + 6996240^2 .

It is not a de Polignac number, because 102001102010001 - 2¹⁴ = 102001101993617 is a prime.

It is a super-2 number, since 2×102001102010001² (a number of 29 digits) contains 22 as substring.

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 (102001102210001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 629636432080 + ... + 629636432241.

Almost surely, 2^{102001102010001} is an apocalyptic number.

It is an amenable number.

102001102010001 is a deficient number, since it is larger than the sum of its proper divisors (50370914572961).

102001102010001 is an equidigital number, since it uses as much as digits as its factorization.

102001102010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259272864333 (or 1259272864324 counting only the distinct ones).

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

Adding to 102001102010001 its reverse (100010201100201), we get a palindrome (202011303110202).

The spelling of 102001102010001 in words is "one hundred two trillion, one billion, one hundred two million, ten thousand, one".