100213030968553 has 2 divisors, whose sum is σ = 100213030968554. Its totient is φ = 100213030968552.

The previous prime is 100213030968527. The next prime is 100213030968569. The reversal of 100213030968553 is 355869030312001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61593803741584 + 38619227226969 = 7848172^2 + 6214437^2 .

It is a cyclic number.

It is not a de Polignac number, because 100213030968553 - 2¹⁷ = 100213030837481 is a prime.

It is not a weakly prime, because it can be changed into another prime (100213030968503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106515484276 + 50106515484277.

It is an arithmetic number, because the mean of its divisors is an integer number (50106515484277).

Almost surely, 2^{100213030968553} is an apocalyptic number.

It is an amenable number.

100213030968553 is a deficient number, since it is larger than the sum of its proper divisors (1).

100213030968553 is an equidigital number, since it uses as much as digits as its factorization.

100213030968553 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 583200, while the sum is 46.

The spelling of 100213030968553 in words is "one hundred trillion, two hundred thirteen billion, thirty million, nine hundred sixty-eight thousand, five hundred fifty-three".