101965028352000 has 896 divisors, whose sum is σ = 371077925677056. Its totient is φ = 24657920000000.

The previous prime is 101965028351993. The next prime is 101965028352041. The reversal of 101965028352000 is 253820569101.

It is a super-3 number, since 3×101965028352000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14564348500 + ... + 14564355500.

Almost surely, 2^{101965028352000} is an apocalyptic number.

101965028352000 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 101965028352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185538962838528).

101965028352000 is an abundant number, since it is smaller than the sum of its proper divisors (269112897325056).

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

101965028352000 is an equidigital number, since it uses as much as digits as its factorization.

101965028352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7487 (or 7453 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 101965028352000 in words is "one hundred one trillion, nine hundred sixty-five billion, twenty-eight million, three hundred fifty-two thousand".