10100012211001 has 32 divisors (see below), whose sum is σ = 11097051204096. Its totient is φ = 9154736640000.

The previous prime is 10100012210987. The next prime is 10100012211011. The reversal of 10100012211001 is 10011221000101.

It is not a de Polignac number, because 10100012211001 - 2¹³ = 10100012202809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100012211011) 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, 17509456 + ... + 18077086.

It is an arithmetic number, because the mean of its divisors is an integer number (346782850128).

Almost surely, 2^{10100012211001} is an apocalyptic number.

It is an amenable number.

10100012211001 is a deficient number, since it is larger than the sum of its proper divisors (997038993095).

10100012211001 is a wasteful number, since it uses less digits than its factorization.

10100012211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568033.

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

Adding to 10100012211001 its reverse (10011221000101), we get a palindrome (20111233211102).

The spelling of 10100012211001 in words is "ten trillion, one hundred billion, twelve million, two hundred eleven thousand, one".