42010102020 has 96 divisors (see below), whose sum is σ = 118803484800. Its totient is φ = 11090939904.

The previous prime is 42010101937. The next prime is 42010102039. The reversal of 42010102020 is 2020101024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 42010101987 and 42010102005.

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 31 ways as a sum of consecutive naturals, for example, 13254996 + ... + 13258164.

It is an arithmetic number, because the mean of its divisors is an integer number (1237536300).

Almost surely, 2^42010102020 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 42010102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59401742400).

42010102020 is an abundant number, since it is smaller than the sum of its proper divisors (76793382780).

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

42010102020 is a wasteful number, since it uses less digits than its factorization.

42010102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5317 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 42010102020 its reverse (2020101024), we get a palindrome (44030203044).

The spelling of 42010102020 in words is "forty-two billion, ten million, one hundred two thousand, twenty".