10100002212101 has 4 divisors (see below), whose sum is σ = 10425808735104. Its totient is φ = 9774195689100.

The previous prime is 10100002212049. The next prime is 10100002212133. The reversal of 10100002212101 is 10121220000101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10100002212101 - 2²² = 10099998017797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100002212191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162903261455 + ... + 162903261516.

It is an arithmetic number, because the mean of its divisors is an integer number (2606452183776).

Almost surely, 2^{10100002212101} is an apocalyptic number.

It is an amenable number.

10100002212101 is a deficient number, since it is larger than the sum of its proper divisors (325806523003).

10100002212101 is an equidigital number, since it uses as much as digits as its factorization.

10100002212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325806523002.

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

Adding to 10100002212101 its reverse (10121220000101), we get a palindrome (20221222212202).

The spelling of 10100002212101 in words is "ten trillion, one hundred billion, two million, two hundred twelve thousand, one hundred one".