122000101000101 has 64 divisors (see below), whose sum is σ = 183750953379840. Its totient is φ = 80987541898032.

The previous prime is 122000101000093. The next prime is 122000101000109. The reversal of 122000101000101 is 101000101000221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122000101000093) and next prime (122000101000109).

It is not a de Polignac number, because 122000101000101 - 2³ = 122000101000093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000101000109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1303888546 + ... + 1303982108.

It is an arithmetic number, because the mean of its divisors is an integer number (2871108646560).

Almost surely, 2^{122000101000101} is an apocalyptic number.

It is an amenable number.

122000101000101 is a deficient number, since it is larger than the sum of its proper divisors (61750852379739).

122000101000101 is an frugal number, since it uses more digits than its factorization.

122000101000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96114 (or 96096 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 122000101000101 its reverse (101000101000221), we get a palindrome (223000202000322).

The spelling of 122000101000101 in words is "one hundred twenty-two trillion, one hundred one million, one hundred one", and thus it is an aban number.