900010010111101 has 16 divisors (see below), whose sum is σ = 953559072092160. Its totient is φ = 846528438988800.

The previous prime is 900010010111071. The next prime is 900010010111119. The reversal of 900010010111101 is 101111010010009.

It is a cyclic number.

It is not a de Polignac number, because 900010010111101 - 2¹⁹ = 900010009586813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900010010115101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2874475780 + ... + 2874788866.

It is an arithmetic number, because the mean of its divisors is an integer number (59597442005760).

Almost surely, 2^{900010010111101} is an apocalyptic number.

It is an amenable number.

900010010111101 is a deficient number, since it is larger than the sum of its proper divisors (53549061981059).

900010010111101 is a wasteful number, since it uses less digits than its factorization.

900010010111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420324.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 900010010111101 in words is "nine hundred trillion, ten billion, ten million, one hundred eleven thousand, one hundred one".