100101110011000 has 128 divisors (see below), whose sum is σ = 270297989544960. Its totient is φ = 33987172752000.

The previous prime is 100101110010971. The next prime is 100101110011027. The reversal of 100101110011000 is 110011101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68697246 + ... + 70139245.

It is an arithmetic number, because the mean of its divisors is an integer number (2111703043320).

Almost surely, 2^{100101110011000} is an apocalyptic number.

100101110011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101110011000 is an abundant number, since it is smaller than the sum of its proper divisors (170196879533960).

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

100101110011000 is a wasteful number, since it uses less digits than its factorization.

100101110011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138836622 (or 138836608 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100101110011000 its reverse (110011101001), we get a palindrome (100211121112001).

The spelling of 100101110011000 in words is "one hundred trillion, one hundred one billion, one hundred ten million, eleven thousand".