11010142204152 has 256 divisors, whose sum is σ = 34597254988800. Its totient is φ = 2842714828800.

The previous prime is 11010142204147. The next prime is 11010142204157. The reversal of 11010142204152 is 25140224101011.

It is an interprime number because it is at equal distance from previous prime (11010142204147) and next prime (11010142204157).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010142204157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19351563 + ... + 19912389.

It is an arithmetic number, because the mean of its divisors is an integer number (135145527300).

Almost surely, 2^{11010142204152} is an apocalyptic number.

11010142204152 is a gapful number since it is divisible by the number (12) 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 11010142204152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17298627494400).

11010142204152 is an abundant number, since it is smaller than the sum of its proper divisors (23587112784648).

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

11010142204152 is a wasteful number, since it uses less digits than its factorization.

11010142204152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561046 (or 561042 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 11010142204152 its reverse (25140224101011), we get a palindrome (36150366305163).

The spelling of 11010142204152 in words is "eleven trillion, ten billion, one hundred forty-two million, two hundred four thousand, one hundred fifty-two".