100000101001000 has 128 divisors (see below), whose sum is σ = 236352705788160. Its totient is φ = 39598173984000.

The previous prime is 100000101000973. The next prime is 100000101001007. The reversal of 100000101001000 is 100101000001.

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

It is not an unprimeable number, because it can be changed into a prime (100000101001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304406835 + ... + 304735165.

It is an arithmetic number, because the mean of its divisors is an integer number (1846505513970).

Almost surely, 2^{100000101001000} is an apocalyptic number.

100000101001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000101001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118176352894080).

100000101001000 is an abundant number, since it is smaller than the sum of its proper divisors (136352604787160).

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

100000101001000 is a wasteful number, since it uses less digits than its factorization.

100000101001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331412 (or 331398 counting only the distinct ones).

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

Adding to 100000101001000 its reverse (100101000001), we get a palindrome (100100202001001).

Subtracting from 100000101001000 its reverse (100101000001), we obtain a palindrome (99900000000999).

The spelling of 100000101001000 in words is "one hundred trillion, one hundred one million, one thousand".