102121414001 has 8 divisors (see below), whose sum is σ = 107374693800. Its totient is φ = 96983591040.

The previous prime is 102121413907. The next prime is 102121414013. The reversal of 102121414001 is 100414121201.

It can be written as a sum of positive squares in 4 ways, for example, as 5391083776 + 96730330225 = 73424^2 + 311015^2 .

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

It is not a de Polignac number, because 102121414001 - 2¹⁸ = 102121151857 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 (102121414061) 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, 28862396 + ... + 28865933.

It is an arithmetic number, because the mean of its divisors is an integer number (13421836725).

Almost surely, 2^102121414001 is an apocalyptic number.

It is an amenable number.

102121414001 is a deficient number, since it is larger than the sum of its proper divisors (5253279799).

102121414001 is an equidigital number, since it uses as much as digits as its factorization.

102121414001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57728419.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102121414001 its reverse (100414121201), we get a palindrome (202535535202).

The spelling of 102121414001 in words is "one hundred two billion, one hundred twenty-one million, four hundred fourteen thousand, one".