2002121102010 has 256 divisors, whose sum is σ = 5360564759040. Its totient is φ = 476222423040.

The previous prime is 2002121101973. The next prime is 2002121102057. The reversal of 2002121102010 is 102011212002.

It is a super-2 number, since 2×2002121102010² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 493495902 + ... + 493499958.

It is an arithmetic number, because the mean of its divisors is an integer number (20939706090).

Almost surely, 2^{2002121102010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002121102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680282379520).

2002121102010 is an abundant number, since it is smaller than the sum of its proper divisors (3358443657030).

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

2002121102010 is a wasteful number, since it uses less digits than its factorization.

2002121102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002121102010 its reverse (102011212002), we get a palindrome (2104132314012).

The spelling of 2002121102010 in words is "two trillion, two billion, one hundred twenty-one million, one hundred two thousand, ten".