1020101013121 has 8 divisors (see below), whose sum is σ = 1023599009664. Its totient is φ = 1016604154800.

The previous prime is 1020101013109. The next prime is 1020101013137. The reversal of 1020101013121 is 1213101010201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020101013121 - 2⁷ = 1020101012993 is a prime.

It is a super-2 number, since 2×1020101013121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020101011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1530771 + ... + 2093671.

It is an arithmetic number, because the mean of its divisors is an integer number (127949876208).

Almost surely, 2^{1020101013121} is an apocalyptic number.

It is an amenable number.

1020101013121 is a deficient number, since it is larger than the sum of its proper divisors (3497996543).

1020101013121 is an equidigital number, since it uses as much as digits as its factorization.

1020101013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569111.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1020101013121 its reverse (1213101010201), we get a palindrome (2233202023322).

The spelling of 1020101013121 in words is "one trillion, twenty billion, one hundred one million, thirteen thousand, one hundred twenty-one".