202120435341153 has 144 divisors (see below), whose sum is σ = 372163993583616. Its totient is φ = 104922153584640.

The previous prime is 202120435341131. The next prime is 202120435341259. The reversal of 202120435341153 is 351143534021202.

202120435341153 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 2 + 0 + 4 + 3 + 534 + 115 + 3 = 666.

202120435341153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202120435341153 - 2²⁸ = 202120166905697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202120435343153) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87876525 + ... + 90147237.

It is an arithmetic number, because the mean of its divisors is an integer number (2584472177664).

Almost surely, 2^{202120435341153} is an apocalyptic number.

It is an amenable number.

202120435341153 is a deficient number, since it is larger than the sum of its proper divisors (170043558242463).

202120435341153 is a wasteful number, since it uses less digits than its factorization.

202120435341153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271164 (or 2271154 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 202120435341153 its reverse (351143534021202), we get a palindrome (553263969362355).

The spelling of 202120435341153 in words is "two hundred two trillion, one hundred twenty billion, four hundred thirty-five million, three hundred forty-one thousand, one hundred fifty-three".