101001002000 has 80 divisors (see below), whose sum is σ = 245084765952. Its totient is φ = 40257417600.

The previous prime is 101001001939. The next prime is 101001002027. The reversal of 101001002000 is 200100101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476777 + ... + 655223.

Almost surely, 2^101001002000 is an apocalyptic number.

101001002000 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 101001002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122542382976).

101001002000 is an abundant number, since it is smaller than the sum of its proper divisors (144083763952).

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

101001002000 is a wasteful number, since it uses less digits than its factorization.

101001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178753 (or 178737 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 101001002000 its reverse (200100101), we get a palindrome (101201102101).

The spelling of 101001002000 in words is "one hundred one billion, one million, two thousand".