2010102221120 has 224 divisors, whose sum is σ = 5487995006208. Its totient is φ = 686959460352.

The previous prime is 2010102221111. The next prime is 2010102221137. The reversal of 2010102221120 is 211222010102.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2010102221095 and 2010102221104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1549808312 + ... + 1549809608.

Almost surely, 2^{2010102221120} is an apocalyptic number.

2010102221120 is a gapful number since it is divisible by the number (20) 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 2010102221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743997503104).

2010102221120 is an abundant number, since it is smaller than the sum of its proper divisors (3477892785088).

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

2010102221120 is a wasteful number, since it uses less digits than its factorization.

2010102221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3007 counting only the distinct ones).

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

Adding to 2010102221120 its reverse (211222010102), we get a palindrome (2221324231222).

The spelling of 2010102221120 in words is "two trillion, ten billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty".