2142105104000 has 128 divisors (see below), whose sum is σ = 5345618101200. Its totient is φ = 853655040000.

The previous prime is 2142105103987. The next prime is 2142105104003. The reversal of 2142105104000 is 4015012412.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 155381025856 + 1986724078144 = 394184^2 + 1409512^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2142105104000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2142105104003) 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, 4055150 + ... + 4552850.

Almost surely, 2^{2142105104000} is an apocalyptic number.

2142105104000 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 2142105104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672809050600).

2142105104000 is an abundant number, since it is smaller than the sum of its proper divisors (3203512997200).

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

2142105104000 is an equidigital number, since it uses as much as digits as its factorization.

2142105104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497999 (or 497977 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 2142105104000 in words is "two trillion, one hundred forty-two billion, one hundred five million, one hundred four thousand".