21142102100000 has 288 divisors, whose sum is σ = 59527882471680. Its totient is φ = 7240245120000.

The previous prime is 21142102099973. The next prime is 21142102100047. The reversal of 21142102100000 is 120124112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613882781 + ... + 613917219.

It is an arithmetic number, because the mean of its divisors is an integer number (206694036360).

Almost surely, 2^{21142102100000} is an apocalyptic number.

21142102100000 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 21142102100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29763941235840).

21142102100000 is an abundant number, since it is smaller than the sum of its proper divisors (38385780371680).

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

21142102100000 is an frugal number, since it uses more digits than its factorization.

21142102100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35358 (or 35330 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21142102100000 its reverse (120124112), we get a palindrome (21142222224112).

The spelling of 21142102100000 in words is "twenty-one trillion, one hundred forty-two billion, one hundred two million, one hundred thousand".