2102122000 has 320 divisors, whose sum is σ = 6016757760. Its totient is φ = 702144000.

The previous prime is 2102121979. The next prime is 2102122067. The reversal of 2102122000 is 2212012.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 19645947 + ... + 19646053.

It is an arithmetic number, because the mean of its divisors is an integer number (18802368).

Almost surely, 2^2102122000 is an apocalyptic number.

2102122000 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 2102122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008378880).

2102122000 is an abundant number, since it is smaller than the sum of its proper divisors (3914635760).

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

2102122000 is a wasteful number, since it uses less digits than its factorization.

2102122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2102122000 is about 45848.9040217975. The cubic root of 2102122000 is about 1281.0103513710.

Adding to 2102122000 its reverse (2212012), we get a palindrome (2104334012).

It can be divided in two parts, 210212 and 2000, that added together give a palindrome (212212).

The spelling of 2102122000 in words is "two billion, one hundred two million, one hundred twenty-two thousand".