900101111001 has 32 divisors (see below), whose sum is σ = 1213189705728. Its totient is φ = 593586829440.

The previous prime is 900101110943. The next prime is 900101111003. The reversal of 900101111001 is 100111101009.

It is not a de Polignac number, because 900101111001 - 2¹⁰ = 900101109977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (900101111003) 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, 66731680 + ... + 66745166.

It is an arithmetic number, because the mean of its divisors is an integer number (37912178304).

Almost surely, 2^900101111001 is an apocalyptic number.

It is an amenable number.

900101111001 is a deficient number, since it is larger than the sum of its proper divisors (313088594727).

900101111001 is a wasteful number, since it uses less digits than its factorization.

900101111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14341.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 900101111001 in words is "nine hundred billion, one hundred one million, one hundred eleven thousand, one".