10145116002010 has 96 divisors (see below), whose sum is σ = 22261758628032. Its totient is φ = 3289381608960.

The previous prime is 10145116001957. The next prime is 10145116002019. The reversal of 10145116002010 is 1020061154101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10145116002019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6839052 + ... + 8189191.

It is an arithmetic number, because the mean of its divisors is an integer number (231893319042).

Almost surely, 2^{10145116002010} is an apocalyptic number.

10145116002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10145116002010 is an abundant number, since it is smaller than the sum of its proper divisors (12116642626022).

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

10145116002010 is a wasteful number, since it uses less digits than its factorization.

10145116002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15028316 (or 15028297 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 10145116002010 its reverse (1020061154101), we get a palindrome (11165177156111).

The spelling of 10145116002010 in words is "ten trillion, one hundred forty-five billion, one hundred sixteen million, two thousand, ten".