420201020102024 has 128 divisors (see below), whose sum is σ = 929005906406400. Its totient is φ = 174488167526400.

The previous prime is 420201020102009. The next prime is 420201020102047.

420201020102024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420201020101987 and 420201020102005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46329974 + ... + 54652250.

It is an arithmetic number, because the mean of its divisors is an integer number (7257858643800).

Almost surely, 2^{420201020102024} 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 420201020102024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464502953203200).

420201020102024 is an abundant number, since it is smaller than the sum of its proper divisors (508804886304376).

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

420201020102024 is a wasteful number, since it uses less digits than its factorization.

420201020102024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8322583 (or 8322579 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The spelling of 420201020102024 in words is "four hundred twenty trillion, two hundred one billion, twenty million, one hundred two thousand, twenty-four".