10200152004 has 96 divisors (see below), whose sum is σ = 27657504000. Its totient is φ = 2865753600.

The previous prime is 10200151999. The next prime is 10200152009. The reversal of 10200152004 is 40025100201.

It is an interprime number because it is at equal distance from previous prime (10200151999) and next prime (10200152009).

It is not an unprimeable number, because it can be changed into a prime (10200152009) 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, 1260082 + ... + 1268150.

It is an arithmetic number, because the mean of its divisors is an integer number (288099000).

Almost surely, 2^10200152004 is an apocalyptic number.

10200152004 is a gapful number since it is divisible by the number (14) 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 10200152004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13828752000).

10200152004 is an abundant number, since it is smaller than the sum of its proper divisors (17457351996).

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

10200152004 is a wasteful number, since it uses less digits than its factorization.

10200152004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8333 (or 8331 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10200152004 its reverse (40025100201), we get a palindrome (50225252205).

The spelling of 10200152004 in words is "ten billion, two hundred million, one hundred fifty-two thousand, four".