120221222112100 has 144 divisors (see below), whose sum is σ = 276390828077056. Its totient is φ = 45317642832000.

The previous prime is 120221222112091. The next prime is 120221222112109. The reversal of 120221222112100 is 1211222122021.

It is an interprime number because it is at equal distance from previous prime (120221222112091) and next prime (120221222112109).

It is a super-2 number, since 2×120221222112100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120221222112109) 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, 42759937 + ... + 45484663.

Almost surely, 2^{120221222112100} is an apocalyptic number.

120221222112100 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 120221222112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138195414038528).

120221222112100 is an abundant number, since it is smaller than the sum of its proper divisors (156169605964956).

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

120221222112100 is a wasteful number, since it uses less digits than its factorization.

120221222112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725146 (or 2725139 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 120221222112100 its reverse (1211222122021), we get a palindrome (121432444234121).

The spelling of 120221222112100 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twelve thousand, one hundred".