10121001001001 has 4 divisors (see below), whose sum is σ = 11041092001104. Its totient is φ = 9200910000900.

The previous prime is 10121001000947. The next prime is 10121001001031. The reversal of 10121001001001 is 10010010012101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121001001001 is a prime.

It is a super-2 number, since 2×10121001001001² (a number of 27 digits) contains 22 as substring.

10121001001001 is a modest number, since divided by 1001001 gives 10121 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10121001001001.

It is not an unprimeable number, because it can be changed into a prime (10121001001031) 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, 460045500035 + ... + 460045500056.

It is an arithmetic number, because the mean of its divisors is an integer number (2760273000276).

Almost surely, 2^{10121001001001} is an apocalyptic number.

10121001001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121001001001 is a deficient number, since it is larger than the sum of its proper divisors (920091000103).

10121001001001 is an equidigital number, since it uses as much as digits as its factorization.

10121001001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920091000102.

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

Adding to 10121001001001 its reverse (10010010012101), we get a palindrome (20131011013102).

The spelling of 10121001001001 in words is "ten trillion, one hundred twenty-one billion, one million, one thousand, one".