122121102001101 has 16 divisors (see below), whose sum is σ = 186089849912448. Its totient is φ = 69783279998400.

The previous prime is 122121102001079. The next prime is 122121102001159. The reversal of 122121102001101 is 101100201121221.

It is a happy number.

It is not a de Polignac number, because 122121102001101 - 2¹⁸ = 122121101738957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121102081101) 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, 1218390 + ... + 15675671.

It is an arithmetic number, because the mean of its divisors is an integer number (11630615619528).

Almost surely, 2^{122121102001101} is an apocalyptic number.

It is an amenable number.

122121102001101 is a deficient number, since it is larger than the sum of its proper divisors (63968747911347).

122121102001101 is a wasteful number, since it uses less digits than its factorization.

122121102001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17238292.

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

Adding to 122121102001101 its reverse (101100201121221), we get a palindrome (223221303122322).

The spelling of 122121102001101 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred two million, one thousand, one hundred one".