10122000101001 has 24 divisors (see below), whose sum is σ = 14633294850720. Its totient is φ = 6742172500800.

The previous prime is 10122000100973. The next prime is 10122000101051. The reversal of 10122000101001 is 10010100022101.

It is a happy number.

It is not a de Polignac number, because 10122000101001 - 2¹⁰ = 10122000099977 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10122000101051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258451861 + ... + 258491021.

It is an arithmetic number, because the mean of its divisors is an integer number (609720618780).

Almost surely, 2^{10122000101001} is an apocalyptic number.

It is an amenable number.

10122000101001 is a deficient number, since it is larger than the sum of its proper divisors (4511294749719).

10122000101001 is a wasteful number, since it uses less digits than its factorization.

10122000101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63237 (or 63234 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10122000101001 its reverse (10010100022101), we get a palindrome (20132100123102).

The spelling of 10122000101001 in words is "ten trillion, one hundred twenty-two billion, one hundred one thousand, one".