10002120201 has 48 divisors (see below), whose sum is σ = 15701770240. Its totient is φ = 6113802240.

The previous prime is 10002120157. The next prime is 10002120283. The reversal of 10002120201 is 10202120001.

It is not a de Polignac number, because 10002120201 - 2⁶ = 10002120137 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 (10002124201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1217016 + ... + 1225206.

Almost surely, 2^10002120201 is an apocalyptic number.

It is an amenable number.

10002120201 is a deficient number, since it is larger than the sum of its proper divisors (5699650039).

10002120201 is a wasteful number, since it uses less digits than its factorization.

10002120201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8446 (or 8443 counting only the distinct ones).

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

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

The spelling of 10002120201 in words is "ten billion, two million, one hundred twenty thousand, two hundred one".