120022101100 has 144 divisors (see below), whose sum is σ = 290271421440. Its totient is φ = 42707116800.

The previous prime is 120022101071. The next prime is 120022101107. The reversal of 120022101100 is 1101220021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120022101107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14468554 + ... + 14476846.

It is an arithmetic number, because the mean of its divisors is an integer number (2015773760).

Almost surely, 2^120022101100 is an apocalyptic number.

120022101100 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 120022101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145135710720).

120022101100 is an abundant number, since it is smaller than the sum of its proper divisors (170249320340).

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

120022101100 is a wasteful number, since it uses less digits than its factorization.

120022101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8600 (or 8593 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120022101100 its reverse (1101220021), we get a palindrome (121123321121).

It can be divided in two parts, 120022 and 101100, that added together give a palindrome (221122).

The spelling of 120022101100 in words is "one hundred twenty billion, twenty-two million, one hundred one thousand, one hundred".