210022010102120 has 32 divisors (see below), whose sum is σ = 500346553480200. Its totient is φ = 79067109685248.

The previous prime is 210022010102119. The next prime is 210022010102129. The reversal of 210022010102120 is 21201010220012.

210022010102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 209829768192004 + 192241910116 = 14485502^2 + 438454^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210022010102095 and 210022010102104.

It is not an unprimeable number, because it can be changed into a prime (210022010102129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154427947925 + ... + 154427949284.

Almost surely, 2^{210022010102120} is an apocalyptic number.

210022010102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210022010102120 is an abundant number, since it is smaller than the sum of its proper divisors (290324543378080).

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

210022010102120 is a wasteful number, since it uses less digits than its factorization.

210022010102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308855897237 (or 308855897233 counting only the distinct ones).

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

Adding to 210022010102120 its reverse (21201010220012), we get a palindrome (231223020322132).

The spelling of 210022010102120 in words is "two hundred ten trillion, twenty-two billion, ten million, one hundred two thousand, one hundred twenty".