900211021012121 has 16 divisors (see below), whose sum is σ = 1111090700194944. Its totient is φ = 710237154553344.

The previous prime is 900211021012103. The next prime is 900211021012123. The reversal of 900211021012121 is 121210120112009.

It is a happy number.

900211021012121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 900211021012121 - 2³⁸ = 899936143105177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (900211021012123) 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, 14011906691 + ... + 14011970936.

It is an arithmetic number, because the mean of its divisors is an integer number (69443168762184).

Almost surely, 2^{900211021012121} is an apocalyptic number.

900211021012121 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

900211021012121 is a deficient number, since it is larger than the sum of its proper divisors (210879679182823).

900211021012121 is a wasteful number, since it uses less digits than its factorization.

900211021012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28023878000.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 900211021012121 in words is "nine hundred trillion, two hundred eleven billion, twenty-one million, twelve thousand, one hundred twenty-one".