102212202200120 has 128 divisors (see below), whose sum is σ = 256332352852800. Its totient is φ = 36453104418816.

The previous prime is 102212202200041. The next prime is 102212202200123. The reversal of 102212202200120 is 21002202212201.

It is a happy number.

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 (102212202200123) 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, 334643312 + ... + 334948608.

Almost surely, 2^{102212202200120} is an apocalyptic number.

102212202200120 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 102212202200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128166176426400).

102212202200120 is an abundant number, since it is smaller than the sum of its proper divisors (154120150652680).

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

102212202200120 is a wasteful number, since it uses less digits than its factorization.

102212202200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331257 (or 331253 counting only the distinct ones).

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

Adding to 102212202200120 its reverse (21002202212201), we get a palindrome (123214404412321).

The spelling of 102212202200120 in words is "one hundred two trillion, two hundred twelve billion, two hundred two million, two hundred thousand, one hundred twenty".