101001001000 has 32 divisors (see below), whose sum is σ = 236342344680. Its totient is φ = 40400400000.

The previous prime is 101001000979. The next prime is 101001001019. The reversal of 101001001000 is 100100101.

It can be written as a sum of positive squares in 4 ways, for example, as 39975203844 + 61025797156 = 199938^2 + 247034^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50499501 + ... + 50501500.

Almost surely, 2^101001001000 is an apocalyptic number.

101001001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001001000 is an abundant number, since it is smaller than the sum of its proper divisors (135341343680).

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

101001001000 is a wasteful number, since it uses less digits than its factorization.

101001001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101001022 (or 101001008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101001001000 its reverse (100100101), we get a palindrome (101101101101).

The spelling of 101001001000 in words is "one hundred one billion, one million, one thousand".