100201022021112 has 64 divisors (see below), whose sum is σ = 252212626108800. Its totient is φ = 33172791373440.

The previous prime is 100201022021077. The next prime is 100201022021141. The reversal of 100201022021112 is 211120220102001.

It is a junction number, because it is equal to n+sod(n) for n = 100201022021091 and 100201022021100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10895883 + ... + 17863994.

It is an arithmetic number, because the mean of its divisors is an integer number (3940822282950).

Almost surely, 2^{100201022021112} is an apocalyptic number.

100201022021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100201022021112 is an abundant number, since it is smaller than the sum of its proper divisors (152011604087688).

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

100201022021112 is a wasteful number, since it uses less digits than its factorization.

100201022021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28760876 (or 28760872 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100201022021112 its reverse (211120220102001), we get a palindrome (311321242123113).

The spelling of 100201022021112 in words is "one hundred trillion, two hundred one billion, twenty-two million, twenty-one thousand, one hundred twelve".