100001001101000 has 32 divisors (see below), whose sum is σ = 234002342578680. Its totient is φ = 40000400440000.

The previous prime is 100001001100951. The next prime is 100001001101087. The reversal of 100001001101000 is 101100100001.

It can be written as a sum of positive squares in 4 ways, for example, as 16333867744324 + 83667133356676 = 4041518^2 + 9146974^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50000499551 + ... + 50000501550.

Almost surely, 2^{100001001101000} is an apocalyptic number.

100001001101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001001101000 is an abundant number, since it is smaller than the sum of its proper divisors (134001341477680).

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

100001001101000 is a wasteful number, since it uses less digits than its factorization.

100001001101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100001001122 (or 100001001108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100001001101000 its reverse (101100100001), we get a palindrome (100102101201001).

The spelling of 100001001101000 in words is "one hundred trillion, one billion, one million, one hundred one thousand".