10122112210101 has 32 divisors (see below), whose sum is σ = 13876962816000. Its totient is φ = 6558095244096.

The previous prime is 10122112210097. The next prime is 10122112210109. The reversal of 10122112210101 is 10101221122101.

It is a happy number.

It is not a de Polignac number, because 10122112210101 - 2² = 10122112210097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122112210109) 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 31 ways as a sum of consecutive naturals, for example, 356561430 + ... + 356589816.

It is an arithmetic number, because the mean of its divisors is an integer number (433655088000).

Almost surely, 2^{10122112210101} is an apocalyptic number.

It is an amenable number.

10122112210101 is a deficient number, since it is larger than the sum of its proper divisors (3754850605899).

10122112210101 is a wasteful number, since it uses less digits than its factorization.

10122112210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32033.

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

Adding to 10122112210101 its reverse (10101221122101), we get a palindrome (20223333332202).

The spelling of 10122112210101 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, two hundred ten thousand, one hundred one".