221201000120100 has 432 divisors, whose sum is σ = 874656606269376. Its totient is φ = 42428163456000.

The previous prime is 221201000120077. The next prime is 221201000120119. The reversal of 221201000120100 is 1021000102122.

221201000120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50512191 + ... + 54716390.

It is an arithmetic number, because the mean of its divisors is an integer number (2024668070068).

Almost surely, 2^{221201000120100} is an apocalyptic number.

221201000120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221201000120100 is an abundant number, since it is smaller than the sum of its proper divisors (653455606149276).

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

221201000120100 is a wasteful number, since it uses less digits than its factorization.

221201000120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105228636 (or 105228622 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221201000120100 its reverse (1021000102122), we get a palindrome (222222000222222).

The spelling of 221201000120100 in words is "two hundred twenty-one trillion, two hundred one billion, one hundred twenty thousand, one hundred".