10101102221121 has 16 divisors (see below), whose sum is σ = 13854704737344. Its totient is φ = 6541377735744.

The previous prime is 10101102221107. The next prime is 10101102221237. The reversal of 10101102221121 is 12112220110101.

It is a happy number.

It is not a de Polignac number, because 10101102221121 - 2²⁷ = 10100968003393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101102221121.

It is not an unprimeable number, because it can be changed into a prime (10101102221921) 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, 74157831 + ... + 74293916.

It is an arithmetic number, because the mean of its divisors is an integer number (865919046084).

Almost surely, 2^{10101102221121} is an apocalyptic number.

It is an amenable number.

10101102221121 is a deficient number, since it is larger than the sum of its proper divisors (3753602516223).

10101102221121 is a wasteful number, since it uses less digits than its factorization.

10101102221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148452400.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10101102221121 its reverse (12112220110101), we get a palindrome (22213322331222).

The spelling of 10101102221121 in words is "ten trillion, one hundred one billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty-one".