2121210111000 has 256 divisors, whose sum is σ = 6800459328000. Its totient is φ = 550091635200.

The previous prime is 2121210110983. The next prime is 2121210111017. The reversal of 2121210111000 is 1110121212.

It is an interprime number because it is at equal distance from previous prime (2121210110983) and next prime (2121210111017).

It is a super-3 number, since 3×2121210111000³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312905611 + ... + 312912389.

It is an arithmetic number, because the mean of its divisors is an integer number (26564294250).

Almost surely, 2^{2121210111000} is an apocalyptic number.

2121210111000 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 2121210111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400229664000).

2121210111000 is an abundant number, since it is smaller than the sum of its proper divisors (4679249217000).

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

2121210111000 is a wasteful number, since it uses less digits than its factorization.

2121210111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9659 (or 9645 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2121210111000 its reverse (1110121212), we get a palindrome (2122320232212).

The spelling of 2121210111000 in words is "two trillion, one hundred twenty-one billion, two hundred ten million, one hundred eleven thousand".