20100122212120 has 32 divisors (see below), whose sum is σ = 45225759834000. Its totient is φ = 8039962688128.

The previous prime is 20100122212099. The next prime is 20100122212141. The reversal of 20100122212120 is 2121222100102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20100122212099) and next prime (20100122212141).

It is a junction number, because it is equal to n+sod(n) for n = 20100122212094 and 20100122212103.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1151787 + ... + 6444133.

Almost surely, 2^{20100122212120} is an apocalyptic number.

20100122212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100122212120 is an abundant number, since it is smaller than the sum of its proper divisors (25125637621880).

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

20100122212120 is a wasteful number, since it uses less digits than its factorization.

20100122212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5387307 (or 5387303 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20100122212120 its reverse (2121222100102), we get a palindrome (22221344312222).

The spelling of 20100122212120 in words is "twenty trillion, one hundred billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty".