2002201001010 has 256 divisors, whose sum is σ = 6253186867200. Its totient is φ = 446435649792.

The previous prime is 2002201000997. The next prime is 2002201001063. The reversal of 2002201001010 is 101001022002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2002201000983 and 2002201001001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12966136 + ... + 13119644.

It is an arithmetic number, because the mean of its divisors is an integer number (24426511200).

Almost surely, 2^{2002201001010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002201001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126593433600).

2002201001010 is an abundant number, since it is smaller than the sum of its proper divisors (4250985866190).

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

2002201001010 is a wasteful number, since it uses less digits than its factorization.

2002201001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153702 (or 153696 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2002201001010 its reverse (101001022002), we get a palindrome (2103202023012).

The spelling of 2002201001010 in words is "two trillion, two billion, two hundred one million, one thousand, ten".