20122100102000 has 80 divisors (see below), whose sum is σ = 52397948733312. Its totient is φ = 7429698489600.

The previous prime is 20122100101979. The next prime is 20122100102051. The reversal of 20122100102000 is 20100122102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 386937464 + ... + 386989463.

Almost surely, 2^{20122100102000} is an apocalyptic number.

20122100102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122100102000 is an abundant number, since it is smaller than the sum of its proper divisors (32275848631312).

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

20122100102000 is a wasteful number, since it uses less digits than its factorization.

20122100102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773926963 (or 773926947 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20122100102000 its reverse (20100122102), we get a palindrome (20142200224102).

The spelling of 20122100102000 in words is "twenty trillion, one hundred twenty-two billion, one hundred million, one hundred two thousand".