10122100221101 has 16 divisors (see below), whose sum is σ = 11568620894208. Its totient is φ = 8772161943600.

The previous prime is 10122100221097. The next prime is 10122100221113. The reversal of 10122100221101 is 10112200122101.

It is not a de Polignac number, because 10122100221101 - 2² = 10122100221097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122100221601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221496395 + ... + 221542088.

It is an arithmetic number, because the mean of its divisors is an integer number (723038805888).

Almost surely, 2^{10122100221101} is an apocalyptic number.

10122100221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122100221101 is a deficient number, since it is larger than the sum of its proper divisors (1446520673107).

10122100221101 is a wasteful number, since it uses less digits than its factorization.

10122100221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443038592.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10122100221101 its reverse (10112200122101), we get a palindrome (20234300343202).

The spelling of 10122100221101 in words is "ten trillion, one hundred twenty-two billion, one hundred million, two hundred twenty-one thousand, one hundred one".