2011021022000 has 40 divisors (see below), whose sum is σ = 4862648836032. Its totient is φ = 804408408000.

The previous prime is 2011021021991. The next prime is 2011021022009. The reversal of 2011021022000 is 2201201102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2011021021991) and next prime (2011021022009).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2011021022009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502753256 + ... + 502757255.

Almost surely, 2^{2011021022000} is an apocalyptic number.

2011021022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011021022000 is an abundant number, since it is smaller than the sum of its proper divisors (2851627814032).

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

2011021022000 is a wasteful number, since it uses less digits than its factorization.

2011021022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005510534 (or 1005510518 counting only the distinct ones).

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

Adding to 2011021022000 its reverse (2201201102), we get a palindrome (2013222223102).

The spelling of 2011021022000 in words is "two trillion, eleven billion, twenty-one million, twenty-two thousand".