120022001100 has 216 divisors, whose sum is σ = 391391543088. Its totient is φ = 31902854400.

The previous prime is 120022001081. The next prime is 120022001101. The reversal of 120022001100 is 1100220021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120022001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7695310 + ... + 7710890.

Almost surely, 2^120022001100 is an apocalyptic number.

120022001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120022001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195695771544).

120022001100 is an abundant number, since it is smaller than the sum of its proper divisors (271369541988).

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

120022001100 is a wasteful number, since it uses less digits than its factorization.

120022001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15927 (or 15908 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120022001100 its reverse (1100220021), we get a palindrome (121122221121).

It can be divided in two parts, 12002 and 2001100, that added together give a palindrome (2013102).

The spelling of 120022001100 in words is "one hundred twenty billion, twenty-two million, one thousand, one hundred".