210121211120000 has 160 divisors (see below), whose sum is σ = 524508991770720. Its totient is φ = 83819457792000.

The previous prime is 210121211119997. The next prime is 210121211120057. The reversal of 210121211120000 is 21112121012.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×210121211120000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25781642 + ... + 32938358.

It is an arithmetic number, because the mean of its divisors is an integer number (3278181198567).

Almost surely, 2^{210121211120000} is an apocalyptic number.

210121211120000 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 210121211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262254495885360).

210121211120000 is an abundant number, since it is smaller than the sum of its proper divisors (314387780650720).

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

210121211120000 is an frugal number, since it uses more digits than its factorization.

210121211120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157118 (or 7157091 counting only the distinct ones).

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

Adding to 210121211120000 its reverse (21112121012), we get a palindrome (210142323241012).

The spelling of 210121211120000 in words is "two hundred ten trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twenty thousand".