10211002110001 has 16 divisors (see below), whose sum is σ = 12783424123008. Its totient is φ = 7923609964800.

The previous prime is 10211002109969. The next prime is 10211002110077. The reversal of 10211002110001 is 10001120011201.

It is a cyclic number.

It is not a de Polignac number, because 10211002110001 - 2⁵ = 10211002109969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10211002110001.

It is not an unprimeable number, because it can be changed into a prime (10211002120001) 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, 275106790 + ... + 275143903.

It is an arithmetic number, because the mean of its divisors is an integer number (798964007688).

Almost surely, 2^{10211002110001} is an apocalyptic number.

10211002110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211002110001 is a deficient number, since it is larger than the sum of its proper divisors (2572422013007).

10211002110001 is a wasteful number, since it uses less digits than its factorization.

10211002110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550250952.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10211002110001 its reverse (10001120011201), we get a palindrome (20212122121202).

The spelling of 10211002110001 in words is "ten trillion, two hundred eleven billion, two million, one hundred ten thousand, one".