210121122000 has 320 divisors, whose sum is σ = 719930135808. Its totient is φ = 52541440000.

The previous prime is 210121121993. The next prime is 210121122007. The reversal of 210121122000 is 221121012.

It is an interprime number because it is at equal distance from previous prime (210121121993) and next prime (210121122007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210121122007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28658335 + ... + 28665665.

Almost surely, 2^210121122000 is an apocalyptic number.

210121122000 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 210121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359965067904).

210121122000 is an abundant number, since it is smaller than the sum of its proper divisors (509809013808).

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

210121122000 is a wasteful number, since it uses less digits than its factorization.

210121122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7655 (or 7639 counting only the distinct ones).

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

Adding to 210121122000 its reverse (221121012), we get a palindrome (210342243012).

The spelling of 210121122000 in words is "two hundred ten billion, one hundred twenty-one million, one hundred twenty-two thousand".