10122120101131 has 2 divisors, whose sum is σ = 10122120101132. Its totient is φ = 10122120101130.

The previous prime is 10122120101111. The next prime is 10122120101147. The reversal of 10122120101131 is 13110102122101.

It is a happy number.

It is an a-pointer prime, because the next prime (10122120101147) can be obtained adding 10122120101131 to its sum of digits (16).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10122120101131 - 2⁵ = 10122120101099 is a prime.

It is a super-2 number, since 2×10122120101131² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10122120101111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061060050565 + 5061060050566.

It is an arithmetic number, because the mean of its divisors is an integer number (5061060050566).

Almost surely, 2^{10122120101131} is an apocalyptic number.

10122120101131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122120101131 is an equidigital number, since it uses as much as digits as its factorization.

10122120101131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10122120101131 its reverse (13110102122101), we get a palindrome (23232222223232).

The spelling of 10122120101131 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, one hundred one thousand, one hundred thirty-one".