10002101502401 has 4 divisors (see below), whose sum is σ = 10018968453252. Its totient is φ = 9985234551552.

The previous prime is 10002101502353. The next prime is 10002101502413. The reversal of 10002101502401 is 10420510120001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2569929610000 + 7432171892401 = 1603100^2 + 2726201^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002101502401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002101502401.

It is not an unprimeable number, because it can be changed into a prime (10002101102401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8433474536 + ... + 8433475721.

It is an arithmetic number, because the mean of its divisors is an integer number (2504742113313).

Almost surely, 2^{10002101502401} is an apocalyptic number.

It is an amenable number.

10002101502401 is a deficient number, since it is larger than the sum of its proper divisors (16866950851).

10002101502401 is an equidigital number, since it uses as much as digits as its factorization.

10002101502401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16866950850.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 10002101502401 its reverse (10420510120001), we get a palindrome (20422611622402).

The spelling of 10002101502401 in words is "ten trillion, two billion, one hundred one million, five hundred two thousand, four hundred one".