100220102120112 has 80 divisors (see below), whose sum is σ = 293492066972160. Its totient is φ = 29213956889856.

The previous prime is 100220102120111. The next prime is 100220102120137. The reversal of 100220102120112 is 211021201022001.

It is a junction number, because it is equal to n+sod(n) for n = 100220102120091 and 100220102120100.

It is not an unprimeable number, because it can be changed into a prime (100220102120111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4226544408 + ... + 4226568119.

It is an arithmetic number, because the mean of its divisors is an integer number (3668650837152).

Almost surely, 2^{100220102120112} is an apocalyptic number.

100220102120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100220102120112 is an abundant number, since it is smaller than the sum of its proper divisors (193271964852048).

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

100220102120112 is a wasteful number, since it uses less digits than its factorization.

100220102120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8453112570 (or 8453112564 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100220102120112 its reverse (211021201022001), we get a palindrome (311241303142113).

The spelling of 100220102120112 in words is "one hundred trillion, two hundred twenty billion, one hundred two million, one hundred twenty thousand, one hundred twelve".