10100210212001 has 32 divisors (see below), whose sum is σ = 12514892275200. Its totient is φ = 7937475379200.

The previous prime is 10100210211977. The next prime is 10100210212013. The reversal of 10100210212001 is 10021201200101.

It is a cyclic number.

It is not a de Polignac number, because 10100210212001 - 2²⁶ = 10100143103137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100210212061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124026785 + ... + 124108193.

It is an arithmetic number, because the mean of its divisors is an integer number (391090383600).

Almost surely, 2^{10100210212001} is an apocalyptic number.

It is an amenable number.

10100210212001 is a deficient number, since it is larger than the sum of its proper divisors (2414682063199).

10100210212001 is a wasteful number, since it uses less digits than its factorization.

10100210212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90609.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100210212001 its reverse (10021201200101), we get a palindrome (20121411412102).

The spelling of 10100210212001 in words is "ten trillion, one hundred billion, two hundred ten million, two hundred twelve thousand, one".