101114140800 has 192 divisors, whose sum is σ = 334238830560. Its totient is φ = 26867097600.

The previous prime is 101114140789. The next prime is 101114140811. The reversal of 101114140800 is 8041411101.

It is an interprime number because it is at equal distance from previous prime (101114140789) and next prime (101114140811).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2678859 + ... + 2716341.

Almost surely, 2^101114140800 is an apocalyptic number.

101114140800 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 101114140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167119415280).

101114140800 is an abundant number, since it is smaller than the sum of its proper divisors (233124689760).

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

101114140800 is a wasteful number, since it uses less digits than its factorization.

101114140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37791 (or 37774 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 101114140800 its reverse (8041411101), we get a palindrome (109155551901).

The spelling of 101114140800 in words is "one hundred one billion, one hundred fourteen million, one hundred forty thousand, eight hundred".