2102212220120 has 64 divisors (see below), whose sum is σ = 5008434379200. Its totient is φ = 791385845760.

The previous prime is 2102212220117. The next prime is 2102212220123. The reversal of 2102212220120 is 210222122012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2102212220117) and next prime (2102212220123).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102212220123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19175060 + ... + 19284380.

It is an arithmetic number, because the mean of its divisors is an integer number (78256787175).

Almost surely, 2^{2102212220120} is an apocalyptic number.

2102212220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102212220120 is an abundant number, since it is smaller than the sum of its proper divisors (2906222159080).

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

2102212220120 is a wasteful number, since it uses less digits than its factorization.

2102212220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137628 (or 137624 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2102212220120 its reverse (210222122012), we get a palindrome (2312434342132).

The spelling of 2102212220120 in words is "two trillion, one hundred two billion, two hundred twelve million, two hundred twenty thousand, one hundred twenty".