100221101012 has 12 divisors (see below), whose sum is σ = 175403772180. Its totient is φ = 50105737536.

The previous prime is 100221101003. The next prime is 100221101021. The reversal of 100221101012 is 210101122001.

It is an interprime number because it is at equal distance from previous prime (100221101003) and next prime (100221101021).

It can be written as a sum of positive squares in 2 ways, for example, as 41871799876 + 58349301136 = 204626^2 + 241556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100221100984 and 100221101002.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1156187 + ... + 1239842.

It is an arithmetic number, because the mean of its divisors is an integer number (14616981015).

Almost surely, 2^100221101012 is an apocalyptic number.

It is an amenable number.

100221101012 is a deficient number, since it is larger than the sum of its proper divisors (75182671168).

100221101012 is a wasteful number, since it uses less digits than its factorization.

100221101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406490 (or 2406488 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100221101012 its reverse (210101122001), we get a palindrome (310322223013).

The spelling of 100221101012 in words is "one hundred billion, two hundred twenty-one million, one hundred one thousand, twelve".