2112951789900 has 720 divisors, whose sum is σ = 7954039138080. Its totient is φ = 481157107200.

The previous prime is 2112951789889. The next prime is 2112951789901. The reversal of 2112951789900 is 99871592112.

It is a happy number.

2112951789900 is a `hidden beast` number, since 2 + 11 + 29 + 517 + 8 + 9 + 90 + 0 = 666.

It is a super-2 number, since 2×2112951789900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112951789901) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2573631490 + ... + 2573632310.

Almost surely, 2^{2112951789900} is an apocalyptic number.

2112951789900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112951789900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977019569040).

2112951789900 is an abundant number, since it is smaller than the sum of its proper divisors (5841087348180).

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

2112951789900 is a wasteful number, since it uses less digits than its factorization.

2112951789900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 54.

The spelling of 2112951789900 in words is "two trillion, one hundred twelve billion, nine hundred fifty-one million, seven hundred eighty-nine thousand, nine hundred".