901010012121 has 12 divisors (see below), whose sum is σ = 1301730049620. Its totient is φ = 600548198400.

The previous prime is 901010012101. The next prime is 901010012171. The reversal of 901010012121 is 121210010109.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 529745242896 + 371264769225 = 727836^2 + 609315^2 .

It is not a de Polignac number, because 901010012121 - 2⁶ = 901010012057 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 901010012094 and 901010012103.

It is not an unprimeable number, because it can be changed into a prime (901010012101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10382976 + ... + 10469393.

It is an arithmetic number, because the mean of its divisors is an integer number (108477504135).

Almost surely, 2^901010012121 is an apocalyptic number.

It is an amenable number.

901010012121 is a deficient number, since it is larger than the sum of its proper divisors (400720037499).

901010012121 is a wasteful number, since it uses less digits than its factorization.

901010012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20857176 (or 20857173 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 901010012121 in words is "nine hundred one billion, ten million, twelve thousand, one hundred twenty-one".