101145240000 has 1120 divisors, whose sum is σ = 450197890560. Its totient is φ = 21731328000.

The previous prime is 101145239989. The next prime is 101145240023. The reversal of 101145240000 is 42541101.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 128519607 + ... + 128520393.

Almost surely, 2^101145240000 is an apocalyptic number.

101145240000 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 101145240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225098945280).

101145240000 is an abundant number, since it is smaller than the sum of its proper divisors (349052650560).

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

101145240000 is an equidigital number, since it uses as much as digits as its factorization.

101145240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 101145240000 its reverse (42541101), we get a palindrome (101187781101).

The spelling of 101145240000 in words is "one hundred one billion, one hundred forty-five million, two hundred forty thousand".