100202202122000 has 160 divisors (see below), whose sum is σ = 266740107004800. Its totient is φ = 36102877632000.

The previous prime is 100202202121981. The next prime is 100202202122017. The reversal of 100202202122000 is 221202202001.

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 31 ways as a sum of consecutive naturals, for example, 18494870 + ... + 23290869.

It is an arithmetic number, because the mean of its divisors is an integer number (1667125668780).

Almost surely, 2^{100202202122000} is an apocalyptic number.

100202202122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202202122000 is an abundant number, since it is smaller than the sum of its proper divisors (166537904882800).

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

100202202122000 is a wasteful number, since it uses less digits than its factorization.

100202202122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41785882 (or 41785866 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100202202122000 its reverse (221202202001), we get a palindrome (100423404324001).

It can be divided in two parts, 100202 and 202122000, that added together give a palindrome (202222202).

The spelling of 100202202122000 in words is "one hundred trillion, two hundred two billion, two hundred two million, one hundred twenty-two thousand".