101418240000 has 1200 divisors, whose sum is σ = 429990921360. Its totient is φ = 21073920000.

The previous prime is 101418239963. The next prime is 101418240023. The reversal of 101418240000 is 42814101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 9219839995 + ... + 9219840005.

Almost surely, 2^101418240000 is an apocalyptic number.

101418240000 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 101418240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214995460680).

101418240000 is an abundant number, since it is smaller than the sum of its proper divisors (328572681360).

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

101418240000 is an frugal number, since it uses more digits than its factorization.

101418240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 101418240000 in words is "one hundred one billion, four hundred eighteen million, two hundred forty thousand".