10121001002001 has 8 divisors (see below), whose sum is σ = 14994075558560. Its totient is φ = 6747334001316.

The previous prime is 10121001001999. The next prime is 10121001002003. The reversal of 10121001002001 is 10020010012101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10121001001999) and next prime (10121001002003).

It is not a de Polignac number, because 10121001002001 - 2¹ = 10121001001999 is a prime.

It is a super-2 number, since 2×10121001002001² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121001002003) 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, 187425944455 + ... + 187425944508.

It is an arithmetic number, because the mean of its divisors is an integer number (1874259444820).

Almost surely, 2^{10121001002001} is an apocalyptic number.

It is an amenable number.

10121001002001 is a deficient number, since it is larger than the sum of its proper divisors (4873074556559).

10121001002001 is an equidigital number, since it uses as much as digits as its factorization.

10121001002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374851888972 (or 374851888966 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10121001002001 its reverse (10020010012101), we get a palindrome (20141011014102).

The spelling of 10121001002001 in words is "ten trillion, one hundred twenty-one billion, one million, two thousand, one".