100101000011000 has 32 divisors (see below), whose sum is σ = 234236340028080. Its totient is φ = 40040400004000.

The previous prime is 100101000010993. The next prime is 100101000011003. The reversal of 100101000011000 is 110000101001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101000011003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50050499006 + ... + 50050501005.

Almost surely, 2^{100101000011000} is an apocalyptic number.

100101000011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101000011000 is an abundant number, since it is smaller than the sum of its proper divisors (134135340017080).

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

100101000011000 is a wasteful number, since it uses less digits than its factorization.

100101000011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100101000032 (or 100101000018 counting only the distinct ones).

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

Adding to 100101000011000 its reverse (110000101001), we get a palindrome (100211000112001).

Subtracting from 100101000011000 its reverse (110000101001), we obtain a palindrome (99990999909999).

It can be divided in two parts, 10010100001 and 1000, that added together give a palindrome (10010101001).

The spelling of 100101000011000 in words is "one hundred trillion, one hundred one billion, eleven thousand".