2011121010000 has 150 divisors (see below), whose sum is σ = 7033180981970. Its totient is φ = 536298912000.

The previous prime is 2011121009993. The next prime is 2011121010001. The reversal of 2011121010000 is 101211102.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 191665337616 + 1819455672384 = 437796^2 + 1348872^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011121010001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11082895 + ... + 11262894.

Almost surely, 2^{2011121010000} is an apocalyptic number.

2011121010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011121010000 is an abundant number, since it is smaller than the sum of its proper divisors (5022059971970).

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

2011121010000 is a wasteful number, since it uses less digits than its factorization.

2011121010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22345823 (or 22345799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2011121010000 its reverse (101211102), we get a palindrome (2011222221102).

The spelling of 2011121010000 in words is "two trillion, eleven billion, one hundred twenty-one million, ten thousand".