122111001000101 has 16 divisors (see below), whose sum is σ = 130944388915200. Its totient is φ = 113535799601328.

The previous prime is 122111001000097. The next prime is 122111001000211. The reversal of 122111001000101 is 101000100111221.

It is a cyclic number.

It is not a de Polignac number, because 122111001000101 - 2² = 122111001000097 is a prime.

It is a super-2 number, since 2×122111001000101² (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 (122111001005101) 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, 243321485 + ... + 243822818.

It is an arithmetic number, because the mean of its divisors is an integer number (8184024307200).

Almost surely, 2^{122111001000101} is an apocalyptic number.

It is an amenable number.

122111001000101 is a deficient number, since it is larger than the sum of its proper divisors (8833387915099).

122111001000101 is a wasteful number, since it uses less digits than its factorization.

122111001000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487144568.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 122111001000101 its reverse (101000100111221), we get a palindrome (223111101111322).

The spelling of 122111001000101 in words is "one hundred twenty-two trillion, one hundred eleven billion, one million, one hundred one", and thus it is an aban number.