101001501000 has 192 divisors, whose sum is σ = 341659918080. Its totient is φ = 26912054400.

The previous prime is 101001500983. The next prime is 101001501017. The reversal of 101001501000 is 105100101.

It is an interprime number because it is at equal distance from previous prime (101001500983) and next prime (101001501017).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 13379227 + ... + 13386773.

It is an arithmetic number, because the mean of its divisors is an integer number (1779478740).

Almost surely, 2^101001501000 is an apocalyptic number.

101001501000 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 101001501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170829959040).

101001501000 is an abundant number, since it is smaller than the sum of its proper divisors (240658417080).

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

101001501000 is a wasteful number, since it uses less digits than its factorization.

101001501000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9061 (or 9044 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 101001501000 its reverse (105100101), we get a palindrome (101106601101).

The spelling of 101001501000 in words is "one hundred one billion, one million, five hundred one thousand".