100221101121102 has 64 divisors (see below), whose sum is σ = 224987427065856. Its totient is φ = 29552778305280.

The previous prime is 100221101121077. The next prime is 100221101121107. The reversal of 100221101121102 is 201121101122001.

It is a happy number.

It is a super-2 number, since 2×100221101121102² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221101121107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200954503 + ... + 201452610.

It is an arithmetic number, because the mean of its divisors is an integer number (3515428547904).

Almost surely, 2^{100221101121102} is an apocalyptic number.

100221101121102 is an abundant number, since it is smaller than the sum of its proper divisors (124766325944754).

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

100221101121102 is a wasteful number, since it uses less digits than its factorization.

100221101121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402407265.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100221101121102 its reverse (201121101122001), we get a palindrome (301342202243103).

The spelling of 100221101121102 in words is "one hundred trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-one thousand, one hundred two".