10100122121201 has 24 divisors (see below), whose sum is σ = 11790259485480. Its totient is φ = 8626940673792.

The previous prime is 10100122121171. The next prime is 10100122121207. The reversal of 10100122121201 is 10212122100101.

It can be written as a sum of positive squares in 4 ways, for example, as 759121868176 + 9341000253025 = 871276^2 + 3056305^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10100122121201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100122121207) 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, 214886435 + ... + 214933431.

It is an arithmetic number, because the mean of its divisors is an integer number (491260811895).

Almost surely, 2^{10100122121201} is an apocalyptic number.

It is an amenable number.

10100122121201 is a deficient number, since it is larger than the sum of its proper divisors (1690137364279).

10100122121201 is a wasteful number, since it uses less digits than its factorization.

10100122121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62273 (or 62266 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10100122121201 its reverse (10212122100101), we get a palindrome (20312244221302).

The spelling of 10100122121201 in words is "ten trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred one".