210211121100120 has 256 divisors, whose sum is σ = 754559245440000. Its totient is φ = 45832486619136.

The previous prime is 210211121100107. The next prime is 210211121100173. The reversal of 210211121100120 is 21001121112012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210211121100120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49962195 + ... + 54005954.

It is an arithmetic number, because the mean of its divisors is an integer number (2947497052500).

Almost surely, 2^{210211121100120} is an apocalyptic number.

210211121100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210211121100120 is an abundant number, since it is smaller than the sum of its proper divisors (544348124339880).

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

210211121100120 is a wasteful number, since it uses less digits than its factorization.

210211121100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103968282 (or 103968278 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 210211121100120 its reverse (21001121112012), we get a palindrome (231212242212132).

The spelling of 210211121100120 in words is "two hundred ten trillion, two hundred eleven billion, one hundred twenty-one million, one hundred thousand, one hundred twenty".