10121000011001 has 32 divisors (see below), whose sum is σ = 11229955278336. Its totient is φ = 9044964000000.

The previous prime is 10121000010973. The next prime is 10121000011061. The reversal of 10121000011001 is 10011000012101.

It is a happy number.

10121000011001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121000011001 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 10121000011001.

It is not an unprimeable number, because it can be changed into a prime (10121000011061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144309395 + ... + 144379511.

It is an arithmetic number, because the mean of its divisors is an integer number (350936102448).

Almost surely, 2^{10121000011001} is an apocalyptic number.

10121000011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121000011001 is a deficient number, since it is larger than the sum of its proper divisors (1108955267335).

10121000011001 is a wasteful number, since it uses less digits than its factorization.

10121000011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71153.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10121000011001 its reverse (10011000012101), we get a palindrome (20132000023102).

The spelling of 10121000011001 in words is "ten trillion, one hundred twenty-one billion, eleven thousand, one".