10122120101129 has 8 divisors (see below), whose sum is σ = 10182816209160. Its totient is φ = 10061604906496.

The previous prime is 10122120101111. The next prime is 10122120101131. The reversal of 10122120101129 is 92110102122101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 169842894400 + 9952277206729 = 412120^2 + 3154723^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10122120101129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122120101179) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45116114 + ... + 45339915.

It is an arithmetic number, because the mean of its divisors is an integer number (1272852026145).

Almost surely, 2^{10122120101129} is an apocalyptic number.

It is an amenable number.

10122120101129 is a deficient number, since it is larger than the sum of its proper divisors (60696108031).

10122120101129 is an equidigital number, since it uses as much as digits as its factorization.

10122120101129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90456699.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 10122120101129 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, one hundred one thousand, one hundred twenty-nine".