122000101012101 has 48 divisors (see below), whose sum is σ = 179595330969600. Its totient is φ = 73611786021696.

The previous prime is 122000101012063. The next prime is 122000101012121. The reversal of 122000101012101 is 101210101000221.

It is not a de Polignac number, because 122000101012101 - 2⁹ = 122000101011589 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000101012121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6132270 + ... + 16781088.

It is an arithmetic number, because the mean of its divisors is an integer number (3741569395200).

Almost surely, 2^{122000101012101} is an apocalyptic number.

It is an amenable number.

122000101012101 is a deficient number, since it is larger than the sum of its proper divisors (57595229957499).

122000101012101 is a wasteful number, since it uses less digits than its factorization.

122000101012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10649290 (or 10649277 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122000101012101 its reverse (101210101000221), we get a palindrome (223210202012322).

The spelling of 122000101012101 in words is "one hundred twenty-two trillion, one hundred one million, twelve thousand, one hundred one".