10121001011201 has 6 divisors (see below), whose sum is σ = 10482035530902. Its totient is φ = 9772000975520.

The previous prime is 10121001011111. The next prime is 10121001011273. The reversal of 10121001011201 is 10211010012101.

It can be written as a sum of positive squares in 3 ways, for example, as 3801911122801 + 6319089888400 = 1949849^2 + 2513780^2 .

It is not a de Polignac number, because 10121001011201 - 2³⁴ = 10103821142017 is a prime.

It is a super-2 number, since 2×10121001011201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121001071201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6017241140 + ... + 6017242821.

It is an arithmetic number, because the mean of its divisors is an integer number (1747005921817).

Almost surely, 2^{10121001011201} is an apocalyptic number.

It is an amenable number.

10121001011201 is a deficient number, since it is larger than the sum of its proper divisors (361034519701).

10121001011201 is an equidigital number, since it uses as much as digits as its factorization.

10121001011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12034484019 (or 12034483990 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10121001011201 its reverse (10211010012101), we get a palindrome (20332011023302).

The spelling of 10121001011201 in words is "ten trillion, one hundred twenty-one billion, one million, eleven thousand, two hundred one".