1010100122001 has 6 divisors (see below), whose sum is σ = 1459033509570. Its totient is φ = 673400081328.

The previous prime is 1010100121969. The next prime is 1010100122011. The reversal of 1010100122001 is 1002210010101.

It is a happy number.

1010100122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 727156980225 + 282943141776 = 852735^2 + 531924^2 .

It is not a de Polignac number, because 1010100122001 - 2⁵ = 1010100121969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 112233346889 = 1010100122001 / (1 + 0 + 1 + 0 + 1 + 0 + 0 + 1 + 2 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (1010100122011) 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, 56116673436 + ... + 56116673453.

It is an arithmetic number, because the mean of its divisors is an integer number (243172251595).

Almost surely, 2^{1010100122001} is an apocalyptic number.

It is an amenable number.

1010100122001 is a deficient number, since it is larger than the sum of its proper divisors (448933387569).

1010100122001 is a wasteful number, since it uses less digits than its factorization.

1010100122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112233346895 (or 112233346892 counting only the distinct ones).

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

Adding to 1010100122001 its reverse (1002210010101), we get a palindrome (2012310132102).

The spelling of 1010100122001 in words is "one trillion, ten billion, one hundred million, one hundred twenty-two thousand, one".