10202120001 has 48 divisors (see below), whose sum is σ = 15676098048. Its totient is φ = 6384873600.

The previous prime is 10202119997. The next prime is 10202120011. The reversal of 10202120001 is 10002120201.

10202120001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10202120001 - 2² = 10202119997 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 (10202120011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1106631 + ... + 1115811.

It is an arithmetic number, because the mean of its divisors is an integer number (326585376).

Almost surely, 2^10202120001 is an apocalyptic number.

It is an amenable number.

10202120001 is a deficient number, since it is larger than the sum of its proper divisors (5473978047).

10202120001 is a wasteful number, since it uses less digits than its factorization.

10202120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9342 (or 9339 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10202120001 its reverse (10002120201), we get a palindrome (20204240202).

The spelling of 10202120001 in words is "ten billion, two hundred two million, one hundred twenty thousand, one".