210102001120 has 96 divisors (see below), whose sum is σ = 543919380480. Its totient is φ = 76057981440.

The previous prime is 210102001111. The next prime is 210102001129. The reversal of 210102001120 is 21100201012.

It is an interprime number because it is at equal distance from previous prime (210102001111) and next prime (210102001129).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 210102001097 and 210102001106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210102001129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124821 + ... + 660139.

It is an arithmetic number, because the mean of its divisors is an integer number (5665826880).

Almost surely, 2^210102001120 is an apocalyptic number.

210102001120 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 210102001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271959690240).

210102001120 is an abundant number, since it is smaller than the sum of its proper divisors (333817379360).

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

210102001120 is a wasteful number, since it uses less digits than its factorization.

210102001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535568 (or 535560 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210102001120 its reverse (21100201012), we get a palindrome (231202202132).

The spelling of 210102001120 in words is "two hundred ten billion, one hundred two million, one thousand, one hundred twenty".