10100000121001 has 12 divisors (see below), whose sum is σ = 11914458324480. Its totient is φ = 8535211366920.

The previous prime is 10100000120981. The next prime is 10100000121037. The reversal of 10100000121001 is 10012100000101.

It is not a de Polignac number, because 10100000121001 - 2¹³ = 10100000112809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100000121061) 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 11 ways as a sum of consecutive naturals, for example, 1451563081 + ... + 1451570038.

It is an arithmetic number, because the mean of its divisors is an integer number (992871527040).

Almost surely, 2^{10100000121001} is an apocalyptic number.

It is an amenable number.

10100000121001 is a deficient number, since it is larger than the sum of its proper divisors (1814458203479).

10100000121001 is an equidigital number, since it uses as much as digits as its factorization.

10100000121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903133204 (or 2903133197 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100000121001 its reverse (10012100000101), we get a palindrome (20112100121102).

The spelling of 10100000121001 in words is "ten trillion, one hundred billion, one hundred twenty-one thousand, one".