2000012112100 has 72 divisors (see below), whose sum is σ = 4753781441640. Its totient is φ = 726982072320.

The previous prime is 2000012112053. The next prime is 2000012112101. The reversal of 2000012112100 is 12112100002.

It can be written as a sum of positive squares in 12 ways, for example, as 767081692224 + 1232930419876 = 875832^2 + 1110374^2 .

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 (2000012112101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20234799 + ... + 20333398.

It is an arithmetic number, because the mean of its divisors is an integer number (66024742245).

Almost surely, 2^{2000012112100} is an apocalyptic number.

2000012112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000012112100 is an abundant number, since it is smaller than the sum of its proper divisors (2753769329540).

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

2000012112100 is a wasteful number, since it uses less digits than its factorization.

2000012112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40568257 (or 40568250 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2000012112100 its reverse (12112100002), we get a palindrome (2012124212102).

It can be divided in two parts, 2000012 and 112100, that added together give a palindrome (2112112).

The spelling of 2000012112100 in words is "two trillion, twelve million, one hundred twelve thousand, one hundred".