2001002121101 has 4 divisors (see below), whose sum is σ = 2001541623900. Its totient is φ = 2000462618304.

The previous prime is 2001002121061. The next prime is 2001002121127. The reversal of 2001002121101 is 1011212001002.

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 379197324100 + 1621804797001 = 615790^2 + 1273501^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001002121101 - 2¹⁸ = 2001001858957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001002121401) 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, 269745836 + ... + 269753253.

It is an arithmetic number, because the mean of its divisors is an integer number (500385405975).

Almost surely, 2^{2001002121101} is an apocalyptic number.

It is an amenable number.

2001002121101 is a deficient number, since it is larger than the sum of its proper divisors (539502799).

2001002121101 is an equidigital number, since it uses as much as digits as its factorization.

2001002121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539502798.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2001002121101 its reverse (1011212001002), we get a palindrome (3012214122103).

The spelling of 2001002121101 in words is "two trillion, one billion, two million, one hundred twenty-one thousand, one hundred one".