210202001001120 has 96 divisors (see below), whose sum is σ = 673358952450240. Its totient is φ = 55103801384960.

The previous prime is 210202001001029. The next prime is 210202001001173. The reversal of 210202001001120 is 21100100202012.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 210202001001096 and 210202001001105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3711165201 + ... + 3711221840.

It is an arithmetic number, because the mean of its divisors is an integer number (7014155754690).

Almost surely, 2^{210202001001120} is an apocalyptic number.

210202001001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210202001001120 is an abundant number, since it is smaller than the sum of its proper divisors (463156951449120).

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

210202001001120 is a wasteful number, since it uses less digits than its factorization.

210202001001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7422387118 (or 7422387110 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210202001001120 its reverse (21100100202012), we get a palindrome (231302101203132).

The spelling of 210202001001120 in words is "two hundred ten trillion, two hundred two billion, one million, one thousand, one hundred twenty".