10100022022002 has 128 divisors (see below), whose sum is σ = 22347601920000. Its totient is φ = 3017773658880.

The previous prime is 10100022021989. The next prime is 10100022022019. The reversal of 10100022022002 is 20022022000101.

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 63 ways as a sum of consecutive naturals, for example, 787274124 + ... + 787286952.

It is an arithmetic number, because the mean of its divisors is an integer number (174590640000).

Almost surely, 2^{10100022022002} is an apocalyptic number.

10100022022002 is an abundant number, since it is smaller than the sum of its proper divisors (12247579897998).

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

10100022022002 is a wasteful number, since it uses less digits than its factorization.

10100022022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13576.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10100022022002 its reverse (20022022000101), we get a palindrome (30122044022103).

The spelling of 10100022022002 in words is "ten trillion, one hundred billion, twenty-two million, twenty-two thousand, two".