2100122112000 has 416 divisors, whose sum is σ = 7623719385984. Its totient is φ = 509116416000.

The previous prime is 2100122111963. The next prime is 2100122112001. The reversal of 2100122112000 is 2112210012.

It is a super-2 number, since 2×2100122112000² (a number of 25 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (2100122112001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16833852 + ... + 16958148.

It is an arithmetic number, because the mean of its divisors is an integer number (18326248524).

Almost surely, 2^{2100122112000} is an apocalyptic number.

2100122112000 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 2100122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811859692992).

2100122112000 is an abundant number, since it is smaller than the sum of its proper divisors (5523597273984).

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

2100122112000 is a wasteful number, since it uses less digits than its factorization.

2100122112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124350 (or 124318 counting only the distinct ones).

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

Adding to 2100122112000 its reverse (2112210012), we get a palindrome (2102234322012).

It can be divided in two parts, 2100122 and 112000, that added together give a palindrome (2212122).

The spelling of 2100122112000 in words is "two trillion, one hundred billion, one hundred twenty-two million, one hundred twelve thousand".