10121101010001 has 10 divisors (see below), whose sum is σ = 15119175582962. Its totient is φ = 6747400673280.

The previous prime is 10121101009967. The next prime is 10121101010071. The reversal of 10121101010001 is 10001010112101.

It can be written as a sum of positive squares in only one way, i.e., 7175755137600 + 2945345872401 = 2678760^2 + 1716201^2 .

It is not a de Polignac number, because 10121101010001 - 2²⁷ = 10120966792273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121101010071) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62475932080 + ... + 62475932241.

Almost surely, 2^{10121101010001} is an apocalyptic number.

It is an amenable number.

10121101010001 is a deficient number, since it is larger than the sum of its proper divisors (4998074572961).

10121101010001 is an equidigital number, since it uses as much as digits as its factorization.

10121101010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124951864333 (or 124951864324 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10121101010001 its reverse (10001010112101), we get a palindrome (20122111122102).

The spelling of 10121101010001 in words is "ten trillion, one hundred twenty-one billion, one hundred one million, ten thousand, one".