2011222100000 has 72 divisors (see below), whose sum is σ = 4949175365316. Its totient is φ = 804488800000.

The previous prime is 2011222099993. The next prime is 2011222100023. The reversal of 2011222100000 is 12221102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 104248911376 + 1906973188624 = 322876^2 + 1380932^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9956111 + ... + 10156110.

Almost surely, 2^{2011222100000} is an apocalyptic number.

2011222100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011222100000 is an abundant number, since it is smaller than the sum of its proper divisors (2937953265316).

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

2011222100000 is an frugal number, since it uses more digits than its factorization.

2011222100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20112256 (or 20112228 counting only the distinct ones).

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

Adding to 2011222100000 its reverse (12221102), we get a palindrome (2011234321102).

The spelling of 2011222100000 in words is "two trillion, eleven billion, two hundred twenty-two million, one hundred thousand".