10202212010100 has 144 divisors (see below), whose sum is σ = 32520722665536. Its totient is φ = 2448775680000.

The previous prime is 10202212010059. The next prime is 10202212010117. The reversal of 10202212010100 is 101021220201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14971549 + ... + 15638148.

It is an arithmetic number, because the mean of its divisors is an integer number (225838351844).

Almost surely, 2^{10202212010100} is an apocalyptic number.

10202212010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202212010100 is an abundant number, since it is smaller than the sum of its proper divisors (22318510655436).

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

10202212010100 is a wasteful number, since it uses less digits than its factorization.

10202212010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30609826 (or 30609819 counting only the distinct ones).

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

Adding to 10202212010100 its reverse (101021220201), we get a palindrome (10303233230301).

The spelling of 10202212010100 in words is "ten trillion, two hundred two billion, two hundred twelve million, ten thousand, one hundred".