100101221011120 has 160 divisors (see below), whose sum is σ = 274570580643840. Its totient is φ = 33212433576960.

The previous prime is 100101221011097. The next prime is 100101221011133. The reversal of 100101221011120 is 21110122101001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100101221011120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313402134 + ... + 1313478346.

It is an arithmetic number, because the mean of its divisors is an integer number (1716066129024).

Almost surely, 2^{100101221011120} is an apocalyptic number.

100101221011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101221011120 is an abundant number, since it is smaller than the sum of its proper divisors (174469359632720).

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

100101221011120 is a wasteful number, since it uses less digits than its factorization.

100101221011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151923 (or 151917 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100101221011120 its reverse (21110122101001), we get a palindrome (121211343112121).

The spelling of 100101221011120 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, eleven thousand, one hundred twenty".