101952000000 has 728 divisors, whose sum is σ = 383948210400. Its totient is φ = 26726400000.

The previous prime is 101951999971. The next prime is 101952000023. The reversal of 101952000000 is 259101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1727999971 + ... + 1728000029.

Almost surely, 2^101952000000 is an apocalyptic number.

101952000000 is a gapful number since it is divisible by the number (10) 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 101952000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191974105200).

101952000000 is an abundant number, since it is smaller than the sum of its proper divisors (281996210400).

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

101952000000 is an frugal number, since it uses more digits than its factorization.

101952000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 101952000000 its reverse (259101), we get a palindrome (101952259101).

The spelling of 101952000000 in words is "one hundred one billion, nine hundred fifty-two million", and thus it is an aban number.