101032220322120 has 256 divisors, whose sum is σ = 319483408896000. Its totient is φ = 25522624512000.

The previous prime is 101032220322119. The next prime is 101032220322151. The reversal of 101032220322120 is 21223022230101.

It is a super-2 number, since 2×101032220322120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84530841 + ... + 85717719.

It is an arithmetic number, because the mean of its divisors is an integer number (1247982066000).

Almost surely, 2^{101032220322120} is an apocalyptic number.

101032220322120 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 101032220322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159741704448000).

101032220322120 is an abundant number, since it is smaller than the sum of its proper divisors (218451188573880).

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

101032220322120 is a wasteful number, since it uses less digits than its factorization.

101032220322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187384 (or 1187380 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101032220322120 its reverse (21223022230101), we get a palindrome (122255242552221).

The spelling of 101032220322120 in words is "one hundred one trillion, thirty-two billion, two hundred twenty million, three hundred twenty-two thousand, one hundred twenty".