101100100001000 has 64 divisors (see below), whose sum is σ = 236588521740480. Its totient is φ = 40437597652800.

The previous prime is 101100100000993. The next prime is 101100100001093. The reversal of 101100100001000 is 100001001101.

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 15 ways as a sum of consecutive naturals, for example, 13558367 + ... + 19647633.

It is an arithmetic number, because the mean of its divisors is an integer number (3696695652195).

Almost surely, 2^{101100100001000} is an apocalyptic number.

101100100001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100100001000 is an abundant number, since it is smaller than the sum of its proper divisors (135488421739480).

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

101100100001000 is a wasteful number, since it uses less digits than its factorization.

101100100001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105891 (or 6105877 counting only the distinct ones).

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

Adding to 101100100001000 its reverse (100001001101), we get a palindrome (101200101002101).

The spelling of 101100100001000 in words is "one hundred one trillion, one hundred billion, one hundred million, one thousand".