100101221202112 has 112 divisors (see below), whose sum is σ = 229230598659552. Its totient is φ = 42958992752640.

The previous prime is 100101221202107. The next prime is 100101221202127. The reversal of 100101221202112 is 211202122101001.

100101221202112 is digitally balanced in base 3, 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 (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41460339 + ... + 43808242.

It is an arithmetic number, because the mean of its divisors is an integer number (2046701773746).

Almost surely, 2^{100101221202112} is an apocalyptic number.

It is an amenable number.

100101221202112 is an abundant number, since it is smaller than the sum of its proper divisors (129129377457440).

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

100101221202112 is a wasteful number, since it uses less digits than its factorization.

100101221202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85268706 (or 85268696 counting only the distinct ones).

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

Adding to 100101221202112 its reverse (211202122101001), we get a palindrome (311303343303113).

The spelling of 100101221202112 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred two thousand, one hundred twelve".