122111001102101 has 16 divisors (see below), whose sum is σ = 133484092099008. Its totient is φ = 110783479939200.

The previous prime is 122111001102047. The next prime is 122111001102157. The reversal of 122111001102101 is 101201100111221.

It is a cyclic number.

It is not a de Polignac number, because 122111001102101 - 2¹⁰ = 122111001101077 is a prime.

It is a super-2 number, since 2×122111001102101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111001122101) 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, 5502521 + ... + 16568033.

It is an arithmetic number, because the mean of its divisors is an integer number (8342755756188).

Almost surely, 2^{122111001102101} is an apocalyptic number.

122111001102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122111001102101 is a deficient number, since it is larger than the sum of its proper divisors (11373090996907).

122111001102101 is a wasteful number, since it uses less digits than its factorization.

122111001102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11067572.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 122111001102101 its reverse (101201100111221), we get a palindrome (223312101213322).

The spelling of 122111001102101 in words is "one hundred twenty-two trillion, one hundred eleven billion, one million, one hundred two thousand, one hundred one".