2141113040100 has 216 divisors, whose sum is σ = 6784975317120. Its totient is φ = 564705872640.

The previous prime is 2141113040023. The next prime is 2141113040119. The reversal of 2141113040100 is 10403111412.

2141113040100 is a `hidden beast` number, since 21 + 411 + 130 + 4 + 0 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55210917 + ... + 55249683.

Almost surely, 2^{2141113040100} is an apocalyptic number.

2141113040100 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 2141113040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392487658560).

2141113040100 is an abundant number, since it is smaller than the sum of its proper divisors (4643862277020).

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

2141113040100 is a wasteful number, since it uses less digits than its factorization.

2141113040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39459 (or 39449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2141113040100 its reverse (10403111412), we get a palindrome (2151516151512).

The spelling of 2141113040100 in words is "two trillion, one hundred forty-one billion, one hundred thirteen million, forty thousand, one hundred".