10201420334020 has 48 divisors (see below), whose sum is σ = 22709023308720. Its totient is φ = 3836155428864.

The previous prime is 10201420333987. The next prime is 10201420334033. The reversal of 10201420334020 is 2043302410201.

It can be written as a sum of positive squares in 8 ways, for example, as 2862945216576 + 7338475117444 = 1692024^2 + 2708962^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10201420333982 and 10201420334000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16807965 + ... + 17404324.

It is an arithmetic number, because the mean of its divisors is an integer number (473104652265).

Almost surely, 2^{10201420334020} is an apocalyptic number.

10201420334020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201420334020 is an abundant number, since it is smaller than the sum of its proper divisors (12507602974700).

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

10201420334020 is a wasteful number, since it uses less digits than its factorization.

10201420334020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34213192 (or 34213190 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10201420334020 its reverse (2043302410201), we get a palindrome (12244722744221).

The spelling of 10201420334020 in words is "ten trillion, two hundred one billion, four hundred twenty million, three hundred thirty-four thousand, twenty".