100221002210120 has 128 divisors (see below), whose sum is σ = 246910219920000. Its totient is φ = 36308829972480.

The previous prime is 100221002210117. The next prime is 100221002210129. The reversal of 100221002210120 is 21012200122001.

It is a junction number, because it is equal to n+sod(n) for n = 100221002210095 and 100221002210104.

It is not an unprimeable number, because it can be changed into a prime (100221002210129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268229591 + ... + 268602969.

It is an arithmetic number, because the mean of its divisors is an integer number (1928986093125).

Almost surely, 2^{100221002210120} is an apocalyptic number.

100221002210120 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 100221002210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123455109960000).

100221002210120 is an abundant number, since it is smaller than the sum of its proper divisors (146689217709880).

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

100221002210120 is a wasteful number, since it uses less digits than its factorization.

100221002210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375663 (or 375659 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100221002210120 its reverse (21012200122001), we get a palindrome (121233202332121).

The spelling of 100221002210120 in words is "one hundred trillion, two hundred twenty-one billion, two million, two hundred ten thousand, one hundred twenty".