10120220100012 has 96 divisors (see below), whose sum is σ = 25790289477120. Its totient is φ = 3063195717120.

The previous prime is 10120220099987. The next prime is 10120220100017. The reversal of 10120220100012 is 21000102202101.

It is a super-3 number, since 3×10120220100012³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10120220100017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780453153 + ... + 780466119.

It is an arithmetic number, because the mean of its divisors is an integer number (268648848720).

Almost surely, 2^{10120220100012} is an apocalyptic number.

10120220100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120220100012 is an abundant number, since it is smaller than the sum of its proper divisors (15670069377108).

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

10120220100012 is a wasteful number, since it uses less digits than its factorization.

10120220100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19351 (or 19349 counting only the distinct ones).

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

Adding to 10120220100012 its reverse (21000102202101), we get a palindrome (31120322302113).

The spelling of 10120220100012 in words is "ten trillion, one hundred twenty billion, two hundred twenty million, one hundred thousand, twelve".