10202120840076 has 96 divisors (see below), whose sum is σ = 26173901537280. Its totient is φ = 3067248340800.

The previous prime is 10202120840069. The next prime is 10202120840077. The reversal of 10202120840076 is 67004802120201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10202120840077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9021505 + ... + 10089191.

It is an arithmetic number, because the mean of its divisors is an integer number (272644807680).

Almost surely, 2^{10202120840076} 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 10202120840076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086950768640).

10202120840076 is an abundant number, since it is smaller than the sum of its proper divisors (15971780697204).

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

10202120840076 is a wasteful number, since it uses less digits than its factorization.

10202120840076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068275 (or 1068273 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

Adding to 10202120840076 its reverse (67004802120201), we get a palindrome (77206922960277).

The spelling of 10202120840076 in words is "ten trillion, two hundred two billion, one hundred twenty million, eight hundred forty thousand, seventy-six".