42102020124 has 72 divisors (see below), whose sum is σ = 112142983680. Its totient is φ = 13281472800.

The previous prime is 42102020119. The next prime is 42102020141.

42102020124 is a `hidden beast` number, since 421 + 0 + 20 + 201 + 24 = 666.

42102020124 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 42102020097 and 42102020106.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 632469 + ... + 695859.

It is an arithmetic number, because the mean of its divisors is an integer number (1557541440).

Almost surely, 2^42102020124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42102020124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56071491840).

42102020124 is an abundant number, since it is smaller than the sum of its proper divisors (70040963556).

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

42102020124 is a wasteful number, since it uses less digits than its factorization.

42102020124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64391 (or 64386 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 421020 and 20124, that added together give a palindrome (441144).

The spelling of 42102020124 in words is "forty-two billion, one hundred two million, twenty thousand, one hundred twenty-four".