2210102210120 has 128 divisors (see below), whose sum is σ = 6279048460800. Its totient is φ = 682168160256.

The previous prime is 2210102210083. The next prime is 2210102210149. The reversal of 2210102210120 is 210122010122.

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 = 2210102210095 and 2210102210104.

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, 9984155 + ... + 10203114.

It is an arithmetic number, because the mean of its divisors is an integer number (49055066100).

Almost surely, 2^{2210102210120} is an apocalyptic number.

2210102210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210102210120 is an abundant number, since it is smaller than the sum of its proper divisors (4068946250680).

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

2210102210120 is a wasteful number, since it uses less digits than its factorization.

2210102210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20187327 (or 20187323 counting only the distinct ones).

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

Adding to 2210102210120 its reverse (210122010122), we get a palindrome (2420224220242).

The spelling of 2210102210120 in words is "two trillion, two hundred ten billion, one hundred two million, two hundred ten thousand, one hundred twenty".