101111001001000 has 32 divisors (see below), whose sum is σ = 236599742344680. Its totient is φ = 40444400400000.

The previous prime is 101111001000991. The next prime is 101111001001019. The reversal of 101111001001000 is 100100111101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 43800862441284 + 57310138559716 = 6618222^2 + 7570346^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50555499501 + ... + 50555501500.

Almost surely, 2^{101111001001000} is an apocalyptic number.

101111001001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111001001000 is an abundant number, since it is smaller than the sum of its proper divisors (135488741343680).

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

101111001001000 is a wasteful number, since it uses less digits than its factorization.

101111001001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101111001022 (or 101111001008 counting only the distinct ones).

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

Adding to 101111001001000 its reverse (100100111101), we get a palindrome (101211101112101).

The spelling of 101111001001000 in words is "one hundred one trillion, one hundred eleven billion, one million, one thousand".