100201212221110 has 576 divisors, whose sum is σ = 252393814669248. Its totient is φ = 28540512000000.

The previous prime is 100201212221087. The next prime is 100201212221137. The reversal of 100201212221110 is 11122212102001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11132226610 + ... + 11132235610.

It is an arithmetic number, because the mean of its divisors is an integer number (438183706023).

Almost surely, 2^{100201212221110} is an apocalyptic number.

100201212221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201212221110 is an abundant number, since it is smaller than the sum of its proper divisors (152192602448138).

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

100201212221110 is a wasteful number, since it uses less digits than its factorization.

100201212221110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9182 (or 9140 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100201212221110 its reverse (11122212102001), we get a palindrome (111323424323111).

The spelling of 100201212221110 in words is "one hundred trillion, two hundred one billion, two hundred twelve million, two hundred twenty-one thousand, one hundred ten".