210122100011120 has 160 divisors (see below), whose sum is σ = 546002353898496. Its totient is φ = 74546422400000.

The previous prime is 210122100011081. The next prime is 210122100011129. The reversal of 210122100011120 is 21110001221012.

210122100011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210122100011095 and 210122100011104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210122100011129) 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, 5097995 + ... + 21124245.

Almost surely, 2^{210122100011120} is an apocalyptic number.

210122100011120 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 210122100011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273001176949248).

210122100011120 is an abundant number, since it is smaller than the sum of its proper divisors (335880253887376).

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

210122100011120 is a wasteful number, since it uses less digits than its factorization.

210122100011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16026639 (or 16026633 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210122100011120 its reverse (21110001221012), we get a palindrome (231232101232132).

The spelling of 210122100011120 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred million, eleven thousand, one hundred twenty".