10202144334132 has 48 divisors (see below), whose sum is σ = 23815566940032. Its totient is φ = 3399206079360.

The previous prime is 10202144334131. The next prime is 10202144334133. The reversal of 10202144334132 is 23143344120201.

It is an interprime number because it is at equal distance from previous prime (10202144334131) and next prime (10202144334133).

It is a self number, because there is not a number n which added to its sum of digits gives 10202144334132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202144334131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276634878 + ... + 276671754.

It is an arithmetic number, because the mean of its divisors is an integer number (496157644584).

Almost surely, 2^{10202144334132} is an apocalyptic number.

10202144334132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10202144334132 is an abundant number, since it is smaller than the sum of its proper divisors (13613422605900).

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

10202144334132 is a wasteful number, since it uses less digits than its factorization.

10202144334132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46488 (or 46486 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10202144334132 its reverse (23143344120201), we get a palindrome (33345488454333).

The spelling of 10202144334132 in words is "ten trillion, two hundred two billion, one hundred forty-four million, three hundred thirty-four thousand, one hundred thirty-two".