100221201201 has 24 divisors (see below), whose sum is σ = 148944016224. Its totient is φ = 59447735680.

The previous prime is 100221201161. The next prime is 100221201247. The reversal of 100221201201 is 102102122001.

It is not a de Polignac number, because 100221201201 - 2⁶ = 100221201137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100221201401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614520 + ... + 760313.

It is an arithmetic number, because the mean of its divisors is an integer number (6206000676).

Almost surely, 2^100221201201 is an apocalyptic number.

100221201201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100221201201 is a deficient number, since it is larger than the sum of its proper divisors (48722815023).

100221201201 is a wasteful number, since it uses less digits than its factorization.

100221201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374941 (or 1374894 counting only the distinct ones).

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

Adding to 100221201201 its reverse (102102122001), we get a palindrome (202323323202).

The spelling of 100221201201 in words is "one hundred billion, two hundred twenty-one million, two hundred one thousand, two hundred one".