10101002101121 has 2 divisors, whose sum is σ = 10101002101122. Its totient is φ = 10101002101120.

The previous prime is 10101002101109. The next prime is 10101002101133. The reversal of 10101002101121 is 12110120010101.

It is a balanced prime because it is at equal distance from previous prime (10101002101109) and next prime (10101002101133).

It can be written as a sum of positive squares in only one way, i.e., 5538232689025 + 4562769412096 = 2353345^2 + 2136064^2 .

It is an emirp because it is prime and its reverse (12110120010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101002101121 - 2²² = 10100997906817 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101202101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050501050560 + 5050501050561.

It is an arithmetic number, because the mean of its divisors is an integer number (5050501050561).

Almost surely, 2^{10101002101121} is an apocalyptic number.

It is an amenable number.

10101002101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101002101121 is an equidigital number, since it uses as much as digits as its factorization.

10101002101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10101002101121 its reverse (12110120010101), we get a palindrome (22211122111222).

The spelling of 10101002101121 in words is "ten trillion, one hundred one billion, two million, one hundred one thousand, one hundred twenty-one".