101021555121413 has 2 divisors, whose sum is σ = 101021555121414. Its totient is φ = 101021555121412.

The previous prime is 101021555121329. The next prime is 101021555121451. The reversal of 101021555121413 is 314121555120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98313927654244 + 2707627467169 = 9915338^2 + 1645487^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021555121413 - 2¹⁰ = 101021555120389 is a prime.

It is a super-2 number, since 2×101021555121413² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101021555121413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101027555121413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510777560706 + 50510777560707.

It is an arithmetic number, because the mean of its divisors is an integer number (50510777560707).

Almost surely, 2^{101021555121413} is an apocalyptic number.

It is an amenable number.

101021555121413 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021555121413 is an equidigital number, since it uses as much as digits as its factorization.

101021555121413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6000, while the sum is 32.

The spelling of 101021555121413 in words is "one hundred one trillion, twenty-one billion, five hundred fifty-five million, one hundred twenty-one thousand, four hundred thirteen".