10201414133020 has 96 divisors (see below), whose sum is σ = 23922176382720. Its totient is φ = 3622098332160.

The previous prime is 10201414132991. The next prime is 10201414133087. The reversal of 10201414133020 is 2033141410201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10201414132982 and 10201414133000.

It is a congruent number.

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, 27752791 + ... + 28117969.

It is an arithmetic number, because the mean of its divisors is an integer number (249189337320).

Almost surely, 2^{10201414133020} is an apocalyptic number.

10201414133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201414133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11961088191360).

10201414133020 is an abundant number, since it is smaller than the sum of its proper divisors (13720762249700).

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

10201414133020 is a wasteful number, since it uses less digits than its factorization.

10201414133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368195 (or 368193 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10201414133020 its reverse (2033141410201), we get a palindrome (12234555543221).

The spelling of 10201414133020 in words is "ten trillion, two hundred one billion, four hundred fourteen million, one hundred thirty-three thousand, twenty".