10100100222121 has 24 divisors (see below), whose sum is σ = 12653102019264. Its totient is φ = 7991143322400.

The previous prime is 10100100222077. The next prime is 10100100222131. The reversal of 10100100222121 is 12122200100101.

It is not a de Polignac number, because 10100100222121 - 2⁷ = 10100100221993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10100100222131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47382646 + ... + 47595328.

It is an arithmetic number, because the mean of its divisors is an integer number (527212584136).

Almost surely, 2^{10100100222121} is an apocalyptic number.

It is an amenable number.

10100100222121 is a deficient number, since it is larger than the sum of its proper divisors (2553001797143).

10100100222121 is a wasteful number, since it uses less digits than its factorization.

10100100222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287261 (or 287254 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10100100222121 its reverse (12122200100101), we get a palindrome (22222300322222).

The spelling of 10100100222121 in words is "ten trillion, one hundred billion, one hundred million, two hundred twenty-two thousand, one hundred twenty-one".