101020001000 has 128 divisors (see below), whose sum is σ = 252592797600. Its totient is φ = 37681459200.

The previous prime is 101020000997. The next prime is 101020001083. The reversal of 101020001000 is 100020101.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 7859531716 + 93160469284 = 88654^2 + 305222^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1825742 + ... + 1880258.

Almost surely, 2^101020001000 is an apocalyptic number.

101020001000 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 101020001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126296398800).

101020001000 is an abundant number, since it is smaller than the sum of its proper divisors (151572796600).

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

101020001000 is a wasteful number, since it uses less digits than its factorization.

101020001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54664 (or 54650 counting only the distinct ones).

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

Adding to 101020001000 its reverse (100020101), we get a palindrome (101120021101).

The spelling of 101020001000 in words is "one hundred one billion, twenty million, one thousand".