10121022001 has 16 divisors (see below), whose sum is σ = 10442096784. Its totient is φ = 9806413824.

The previous prime is 10121021957. The next prime is 10121022007. The reversal of 10121022001 is 10022012101.

It can be written as a sum of positive squares in 8 ways, for example, as 160782400 + 9960239601 = 12680^2 + 99801^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121022001 - 2¹⁷ = 10120890929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121022007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 964881 + ... + 975313.

It is an arithmetic number, because the mean of its divisors is an integer number (652631049).

Almost surely, 2^10121022001 is an apocalyptic number.

It is an amenable number.

10121022001 is a deficient number, since it is larger than the sum of its proper divisors (321074783).

10121022001 is a wasteful number, since it uses less digits than its factorization.

10121022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10740.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10121022001 its reverse (10022012101), we get a palindrome (20143034102).

The spelling of 10121022001 in words is "ten billion, one hundred twenty-one million, twenty-two thousand, one".