2121111001000 has 64 divisors (see below), whose sum is σ = 4964571855360. Its totient is φ = 848244040000.

The previous prime is 2121111000997. The next prime is 2121111001013. The reversal of 2121111001000 is 1001111212.

It is a super-2 number, since 2×2121111001000² (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4022685 + ... + 4519315.

It is an arithmetic number, because the mean of its divisors is an integer number (77571435240).

Almost surely, 2^{2121111001000} is an apocalyptic number.

2121111001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121111001000 is an abundant number, since it is smaller than the sum of its proper divisors (2843460854360).

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

2121111001000 is a wasteful number, since it uses less digits than its factorization.

2121111001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500923 (or 500909 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2121111001000 its reverse (1001111212), we get a palindrome (2122112112212).

The spelling of 2121111001000 in words is "two trillion, one hundred twenty-one billion, one hundred eleven million, one thousand".