210110100021120 has 512 divisors, whose sum is σ = 738252063521280. Its totient is φ = 50500503502848.

The previous prime is 210110100021097. The next prime is 210110100021131. The reversal of 210110100021120 is 21120001011012.

It is a super-3 number, since 3×210110100021120³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210110100021096 and 210110100021105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3549307362 + ... + 3549366558.

It is an arithmetic number, because the mean of its divisors is an integer number (1441898561565).

Almost surely, 2^{210110100021120} is an apocalyptic number.

210110100021120 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 210110100021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369126031760640).

210110100021120 is an abundant number, since it is smaller than the sum of its proper divisors (528141963500160).

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

210110100021120 is a wasteful number, since it uses less digits than its factorization.

210110100021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62582 (or 62570 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210110100021120 its reverse (21120001011012), we get a palindrome (231230101032132).

The spelling of 210110100021120 in words is "two hundred ten trillion, one hundred ten billion, one hundred million, twenty-one thousand, one hundred twenty".