101968120800 has 864 divisors, whose sum is σ = 465890181120. Its totient is φ = 20379340800.

The previous prime is 101968120799. The next prime is 101968120831. The reversal of 101968120800 is 8021869101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12444705 + ... + 12452895.

Almost surely, 2^101968120800 is an apocalyptic number.

101968120800 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 101968120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232945090560).

101968120800 is an abundant number, since it is smaller than the sum of its proper divisors (363922060320).

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

101968120800 is a wasteful number, since it uses less digits than its factorization.

101968120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8256 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

Adding to 101968120800 its reverse (8021869101), we get a palindrome (109989989901).

The spelling of 101968120800 in words is "one hundred one billion, nine hundred sixty-eight million, one hundred twenty thousand, eight hundred".