21124100142112 has 48 divisors (see below), whose sum is σ = 45375923023200. Its totient is φ = 9600357450240.

The previous prime is 21124100142107. The next prime is 21124100142133.

21124100142112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2458437 + ... + 6949252.

It is an arithmetic number, because the mean of its divisors is an integer number (945331729650).

Almost surely, 2^{21124100142112} is an apocalyptic number.

21124100142112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21124100142112 is an abundant number, since it is smaller than the sum of its proper divisors (24251822881088).

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

21124100142112 is a wasteful number, since it uses less digits than its factorization.

21124100142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9414089 (or 9414081 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 21124100 and 142112, that added together give a palindrome (21266212).

The spelling of 21124100142112 in words is "twenty-one trillion, one hundred twenty-four billion, one hundred million, one hundred forty-two thousand, one hundred twelve".