100012220001120 has 96 divisors (see below), whose sum is σ = 360043992016128. Its totient is φ = 22859935999488.

The previous prime is 100012220001007. The next prime is 100012220001157. The reversal of 100012220001120 is 21100022210001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100012220001096 and 100012220001105.

It is a congruent number.

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, 14882767474 + ... + 14882774193.

It is an arithmetic number, because the mean of its divisors is an integer number (3750458250168).

Almost surely, 2^{100012220001120} is an apocalyptic number.

100012220001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012220001120 is an abundant number, since it is smaller than the sum of its proper divisors (260031772015008).

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

100012220001120 is a wasteful number, since it uses less digits than its factorization.

100012220001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29765541692 (or 29765541684 counting only the distinct ones).

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

Adding to 100012220001120 its reverse (21100022210001), we get a palindrome (121112242211121).

The spelling of 100012220001120 in words is "one hundred trillion, twelve billion, two hundred twenty million, one thousand, one hundred twenty".