2002100210010 has 64 divisors (see below), whose sum is σ = 5379689208960. Its totient is φ = 529817857920.

The previous prime is 2002100209891. The next prime is 2002100210039. The reversal of 2002100210010 is 100120012002.

It is a super-2 number, since 2×2002100210010² (a number of 25 digits) contains 22 as substring.

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 = 2002100209974 and 2002100210001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28266867 + ... + 28337606.

It is an arithmetic number, because the mean of its divisors is an integer number (84057643890).

Almost surely, 2^{2002100210010} is an apocalyptic number.

2002100210010 is an abundant number, since it is smaller than the sum of its proper divisors (3377588998950).

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

2002100210010 is a wasteful number, since it uses less digits than its factorization.

2002100210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56604620 (or 56604614 counting only the distinct ones).

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

Adding to 2002100210010 its reverse (100120012002), we get a palindrome (2102220222012).

The spelling of 2002100210010 in words is "two trillion, two billion, one hundred million, two hundred ten thousand, ten".