210102210211120 has 40 divisors (see below), whose sum is σ = 488488373738640. Its totient is φ = 84040757633280.

The previous prime is 210102210211099. The next prime is 210102210211151. The reversal of 210102210211120 is 21112012201012.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210102210211094 and 210102210211103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66089446 + ... + 69195514.

It is an arithmetic number, because the mean of its divisors is an integer number (12212209343466).

Almost surely, 2^{210102210211120} is an apocalyptic number.

210102210211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210102210211120 is an abundant number, since it is smaller than the sum of its proper divisors (278386163527520).

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

210102210211120 is a wasteful number, since it uses less digits than its factorization.

210102210211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951613 (or 3951607 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210102210211120 its reverse (21112012201012), we get a palindrome (231214222412132).

The spelling of 210102210211120 in words is "two hundred ten trillion, one hundred two billion, two hundred ten million, two hundred eleven thousand, one hundred twenty".