2112202001000 has 256 divisors, whose sum is σ = 6173952744960. Its totient is φ = 658497945600.

The previous prime is 2112202000991. The next prime is 2112202001009. The reversal of 2112202001000 is 1002022112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2112202000991) and next prime (2112202001009).

It is a super-2 number, since 2×2112202001000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112202001009) 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, 5923784 + ... + 6270216.

It is an arithmetic number, because the mean of its divisors is an integer number (24117002910).

Almost surely, 2^{2112202001000} is an apocalyptic number.

2112202001000 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 2112202001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086976372480).

2112202001000 is an abundant number, since it is smaller than the sum of its proper divisors (4061750743960).

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

2112202001000 is a wasteful number, since it uses less digits than its factorization.

2112202001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346541 (or 346527 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2112202001000 its reverse (1002022112), we get a palindrome (2113204023112).

The spelling of 2112202001000 in words is "two trillion, one hundred twelve billion, two hundred two million, one thousand".