2002121001001 has 16 divisors (see below), whose sum is σ = 2185894395648. Its totient is φ = 1818641970000.

The previous prime is 2002121000983. The next prime is 2002121001007. The reversal of 2002121001001 is 1001001212002.

It is a cyclic number.

It is not a de Polignac number, because 2002121001001 - 2⁵ = 2002121000969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002121001007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76325050 + ... + 76351276.

It is an arithmetic number, because the mean of its divisors is an integer number (136618399728).

Almost surely, 2^{2002121001001} is an apocalyptic number.

It is an amenable number.

2002121001001 is a deficient number, since it is larger than the sum of its proper divisors (183773394647).

2002121001001 is a wasteful number, since it uses less digits than its factorization.

2002121001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31572.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2002121001001 its reverse (1001001212002), we get a palindrome (3003122213003).

The spelling of 2002121001001 in words is "two trillion, two billion, one hundred twenty-one million, one thousand, one".