101000010001000 has 128 divisors (see below), whose sum is σ = 263311129935360. Its totient is φ = 35945844768000.

The previous prime is 101000010000983. The next prime is 101000010001001. The reversal of 101000010001000 is 100010000101.

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

101000010001000 is a modest number, since divided by 10001000 gives 1010000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (101000010001001) 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, 97161927 + ... + 98195926.

It is an arithmetic number, because the mean of its divisors is an integer number (2057118202620).

Almost surely, 2^{101000010001000} is an apocalyptic number.

101000010001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000010001000 is an abundant number, since it is smaller than the sum of its proper divisors (162311119934360).

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

101000010001000 is a wasteful number, since it uses less digits than its factorization.

101000010001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195357932 (or 195357918 counting only the distinct ones).

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

Adding to 101000010001000 its reverse (100010000101), we get a palindrome (101100020001101).

The spelling of 101000010001000 in words is "one hundred one trillion, ten million, one thousand".