210121010000 has 400 divisors, whose sum is σ = 569647254528. Its totient is φ = 74419200000.

The previous prime is 210121009951. The next prime is 210121010017. The reversal of 210121010000 is 10121012.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 210121010000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1100109905 + ... + 1100110095.

Almost surely, 2^210121010000 is an apocalyptic number.

210121010000 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 210121010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284823627264).

210121010000 is an abundant number, since it is smaller than the sum of its proper divisors (359526244528).

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

210121010000 is a wasteful number, since it uses less digits than its factorization.

210121010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210121010000 its reverse (10121012), we get a palindrome (210131131012).

It can be divided in two parts, 2101 and 21010000, that multiplied together give a square (44142010000 = 210100²).

The spelling of 210121010000 in words is "two hundred ten billion, one hundred twenty-one million, ten thousand".