101020112101121 has 2 divisors, whose sum is σ = 101020112101122. Its totient is φ = 101020112101120.

The previous prime is 101020112101109. The next prime is 101020112101157. The reversal of 101020112101121 is 121101211020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99976721354896 + 1043390746225 = 9998836^2 + 1021465^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101020112101121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101020112101096 and 101020112101105.

It is not a weakly prime, because it can be changed into another prime (101020112101021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510056050560 + 50510056050561.

It is an arithmetic number, because the mean of its divisors is an integer number (50510056050561).

Almost surely, 2^{101020112101121} is an apocalyptic number.

It is an amenable number.

101020112101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020112101121 is an equidigital number, since it uses as much as digits as its factorization.

101020112101121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101020112101121 its reverse (121101211020101), we get a palindrome (222121323121222).

The spelling of 101020112101121 in words is "one hundred one trillion, twenty billion, one hundred twelve million, one hundred one thousand, one hundred twenty-one".