42102134211020 has 384 divisors, whose sum is σ = 108822730383360. Its totient is φ = 13508949934080.

The previous prime is 42102134210989. The next prime is 42102134211107. The reversal of 42102134211020 is 2011243120124.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3660094589 + ... + 3660106091.

It is an arithmetic number, because the mean of its divisors is an integer number (283392527040).

Almost surely, 2^{42102134211020} 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 42102134211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54411365191680).

42102134211020 is an abundant number, since it is smaller than the sum of its proper divisors (66720596172340).

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

42102134211020 is a wasteful number, since it uses less digits than its factorization.

42102134211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12665 (or 12663 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 42102134211020 its reverse (2011243120124), we get a palindrome (44113377331144).

The spelling of 42102134211020 in words is "forty-two trillion, one hundred two billion, one hundred thirty-four million, two hundred eleven thousand, twenty".