101015442000 has 240 divisors, whose sum is σ = 384887954880. Its totient is φ = 24488544000.

The previous prime is 101015441983. The next prime is 101015442013. The reversal of 101015442000 is 244510101.

101015442000 is a `hidden beast` number, since 1 + 0 + 101 + 544 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 57090 + ... + 453089.

It is an arithmetic number, because the mean of its divisors is an integer number (1603699812).

Almost surely, 2^101015442000 is an apocalyptic number.

101015442000 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 101015442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192443977440).

101015442000 is an abundant number, since it is smaller than the sum of its proper divisors (283872512880).

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

101015442000 is a wasteful number, since it uses less digits than its factorization.

101015442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510219 (or 510200 counting only the distinct ones).

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

Adding to 101015442000 its reverse (244510101), we get a palindrome (101259952101).

The spelling of 101015442000 in words is "one hundred one billion, fifteen million, four hundred forty-two thousand".