10101497952 has 96 divisors (see below), whose sum is σ = 32635636992. Its totient is φ = 2664129024.

The previous prime is 10101497921. The next prime is 10101497999. The reversal of 10101497952 is 25979410101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10101497952.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 569418 + ... + 586889.

It is an arithmetic number, because the mean of its divisors is an integer number (339954552).

Almost surely, 2^10101497952 is an apocalyptic number.

10101497952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101497952 is an abundant number, since it is smaller than the sum of its proper divisors (22534139040).

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

10101497952 is a wasteful number, since it uses less digits than its factorization.

10101497952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156340 (or 1156332 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

It can be divided in two parts, 1010149 and 7952, that added together give a palindrome (1018101).

The spelling of 10101497952 in words is "ten billion, one hundred one million, four hundred ninety-seven thousand, nine hundred fifty-two".