2002121201000 has 64 divisors (see below), whose sum is σ = 4686045184080. Its totient is φ = 800663596800.

The previous prime is 2002121200991. The next prime is 2002121201027. The reversal of 2002121201000 is 1021212002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 44131085476 + 1957990115524 = 210074^2 + 1399282^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4144082 + ... + 4601918.

Almost surely, 2^{2002121201000} is an apocalyptic number.

2002121201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002121201000 is an abundant number, since it is smaller than the sum of its proper divisors (2683923983080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002121201000 is a wasteful number, since it uses less digits than its factorization.

2002121201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462231 (or 462217 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2002121201000 its reverse (1021212002), we get a palindrome (2003142413002).

The spelling of 2002121201000 in words is "two trillion, two billion, one hundred twenty-one million, two hundred one thousand".