72001121010101 has 2 divisors, whose sum is σ = 72001121010102. Its totient is φ = 72001121010100.

The previous prime is 72001121010097. The next prime is 72001121010103. The reversal of 72001121010101 is 10101012110027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71345879329201 + 655241680900 = 8446649^2 + 809470^2 .

It is an emirp because it is prime and its reverse (10101012110027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72001121010101 - 2² = 72001121010097 is a prime.

It is a super-2 number, since 2×72001121010101² (a number of 29 digits) contains 22 as substring.

Together with 72001121010103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72001121010101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72001121010103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36000560505050 + 36000560505051.

It is an arithmetic number, because the mean of its divisors is an integer number (36000560505051).

Almost surely, 2^{72001121010101} is an apocalyptic number.

It is an amenable number.

72001121010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

72001121010101 is an equidigital number, since it uses as much as digits as its factorization.

72001121010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 72001121010101 its reverse (10101012110027), we get a palindrome (82102133120128).

The spelling of 72001121010101 in words is "seventy-two trillion, one billion, one hundred twenty-one million, ten thousand, one hundred one".