10100152000 has 56 divisors (see below), whose sum is σ = 25013046240. Its totient is φ = 4040057600.

The previous prime is 10100151977. The next prime is 10100152001. The reversal of 10100152000 is 25100101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10100152001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623260 + ... + 639259.

It is an arithmetic number, because the mean of its divisors is an integer number (446661540).

Almost surely, 2^10100152000 is an apocalyptic number.

10100152000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100152000 is an abundant number, since it is smaller than the sum of its proper divisors (14912894240).

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

10100152000 is an equidigital number, since it uses as much as digits as its factorization.

10100152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262546 (or 1262526 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

Adding to 10100152000 its reverse (25100101), we get a palindrome (10125252101).

The spelling of 10100152000 in words is "ten billion, one hundred million, one hundred fifty-two thousand".