100201202022012 has 384 divisors, whose sum is σ = 315245439129600. Its totient is φ = 24010336272384.

The previous prime is 100201202021959. The next prime is 100201202022049. The reversal of 100201202022012 is 210220202102001.

It is a junction number, because it is equal to n+sod(n) for n = 100201202021982 and 100201202022000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4015584928 + ... + 4015609880.

It is an arithmetic number, because the mean of its divisors is an integer number (820951664400).

Almost surely, 2^{100201202022012} is an apocalyptic number.

100201202022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201202022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157622719564800).

100201202022012 is an abundant number, since it is smaller than the sum of its proper divisors (215044237107588).

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

100201202022012 is a wasteful number, since it uses less digits than its factorization.

100201202022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32485 (or 32483 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100201202022012 its reverse (210220202102001), we get a palindrome (310421404124013).

The spelling of 100201202022012 in words is "one hundred trillion, two hundred one billion, two hundred two million, twenty-two thousand, twelve".