10101120012121 has 8 divisors (see below), whose sum is σ = 10126383760584. Its totient is φ = 10075865184000.

The previous prime is 10101120012119. The next prime is 10101120012143. The reversal of 10101120012121 is 12121002110101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4574807654400 + 5526312357721 = 2138880^2 + 2350811^2 .

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 10101120012121 - 2¹ = 10101120012119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101120012161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40371 + ... + 4494871.

It is an arithmetic number, because the mean of its divisors is an integer number (1265797970073).

Almost surely, 2^{10101120012121} is an apocalyptic number.

It is an amenable number.

10101120012121 is a deficient number, since it is larger than the sum of its proper divisors (25263748463).

10101120012121 is an equidigital number, since it uses as much as digits as its factorization.

10101120012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460171.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10101120012121 its reverse (12121002110101), we get a palindrome (22222122122222).

The spelling of 10101120012121 in words is "ten trillion, one hundred one billion, one hundred twenty million, twelve thousand, one hundred twenty-one".