102102012001 has 6 divisors (see below), whose sum is σ = 112227831506. Its totient is φ = 92820010800.

The previous prime is 102102011989. The next prime is 102102012007. The reversal of 102102012001 is 100210201201.

It can be written as a sum of positive squares in only one way, i.e., 91672700625 + 10429311376 = 302775^2 + 102124^2 .

It is not a de Polignac number, because 102102012001 - 2¹⁷ = 102101880929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102102012007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 421909020 + ... + 421909261.

Almost surely, 2^102102012001 is an apocalyptic number.

102102012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102102012001 is a deficient number, since it is larger than the sum of its proper divisors (10125819505).

102102012001 is an equidigital number, since it uses as much as digits as its factorization.

102102012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843818303 (or 843818292 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102102012001 its reverse (100210201201), we get a palindrome (202312213202).

It can be divided in two parts, 10210201200 and 1, that added together give a palindrome (10210201201).

The spelling of 102102012001 in words is "one hundred two billion, one hundred two million, twelve thousand, one".