210111021220100 has 432 divisors, whose sum is σ = 624731770607616. Its totient is φ = 60293608704000.

The previous prime is 210111021220099. The next prime is 210111021220181. The reversal of 210111021220100 is 1022120111012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 267976640 + ... + 268759560.

It is an arithmetic number, because the mean of its divisors is an integer number (1446138357888).

Almost surely, 2^{210111021220100} is an apocalyptic number.

210111021220100 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 210111021220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312365885303808).

210111021220100 is an abundant number, since it is smaller than the sum of its proper divisors (414620749387516).

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

210111021220100 is a wasteful number, since it uses less digits than its factorization.

210111021220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783356 (or 783342 counting only the distinct ones).

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

Adding to 210111021220100 its reverse (1022120111012), we get a palindrome (211133141331112).

The spelling of 210111021220100 in words is "two hundred ten trillion, one hundred eleven billion, twenty-one million, two hundred twenty thousand, one hundred".