2011112101000 has 64 divisors (see below), whose sum is σ = 4752596637360. Its totient is φ = 796480000000.

The previous prime is 2011112100997. The next prime is 2011112101003. The reversal of 2011112101000 is 1012111102.

It is an interprime number because it is at equal distance from previous prime (2011112100997) and next prime (2011112101003).

It can be written as a sum of positive squares in 8 ways, for example, as 64702061956 + 1946410039044 = 254366^2 + 1395138^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2011112101003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9855001 + ... + 10057000.

Almost surely, 2^{2011112101000} is an apocalyptic number.

2011112101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011112101000 is an abundant number, since it is smaller than the sum of its proper divisors (2741484536360).

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

2011112101000 is a wasteful number, since it uses less digits than its factorization.

2011112101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19912123 (or 19912109 counting only the distinct ones).

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

Adding to 2011112101000 its reverse (1012111102), we get a palindrome (2012124212102).

It can be divided in two parts, 2011112 and 101000, that added together give a palindrome (2112112).

The spelling of 2011112101000 in words is "two trillion, eleven billion, one hundred twelve million, one hundred one thousand".