2141284445100 has 288 divisors, whose sum is σ = 7192029680640. Its totient is φ = 545506030080.

The previous prime is 2141284445089. The next prime is 2141284445101. The reversal of 2141284445100 is 15444821412.

2141284445100 is a `hidden beast` number, since 2 + 14 + 12 + 84 + 44 + 510 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2141284445101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51087352 + ... + 51129248.

It is an arithmetic number, because the mean of its divisors is an integer number (24972325280).

Almost surely, 2^{2141284445100} is an apocalyptic number.

2141284445100 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 2141284445100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596014840320).

2141284445100 is an abundant number, since it is smaller than the sum of its proper divisors (5050745235540).

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

2141284445100 is a wasteful number, since it uses less digits than its factorization.

2141284445100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42766 (or 42753 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 2141284445100 in words is "two trillion, one hundred forty-one billion, two hundred eighty-four million, four hundred forty-five thousand, one hundred".