120222002012100 has 144 divisors (see below), whose sum is σ = 371682573292800. Its totient is φ = 29896545208320.

The previous prime is 120222002012093. The next prime is 120222002012107. The reversal of 120222002012100 is 1210200222021.

It is an interprime number because it is at equal distance from previous prime (120222002012093) and next prime (120222002012107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120222002012100.

It is not an unprimeable number, because it can be changed into a prime (120222002012107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107576860 + ... + 108688659.

It is an arithmetic number, because the mean of its divisors is an integer number (2581128981200).

Almost surely, 2^{120222002012100} is an apocalyptic number.

120222002012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120222002012100 is an abundant number, since it is smaller than the sum of its proper divisors (251460571280700).

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

120222002012100 is a wasteful number, since it uses less digits than its factorization.

120222002012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216265662 (or 216265655 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120222002012100 its reverse (1210200222021), we get a palindrome (121432202234121).

The spelling of 120222002012100 in words is "one hundred twenty trillion, two hundred twenty-two billion, two million, twelve thousand, one hundred".