202040354528100 has 729 divisors, whose sum is σ = 734978030485881. Its totient is φ = 46381144233600.

The previous prime is 202040354528059. The next prime is 202040354528107. The reversal of 202040354528100 is 1825453040202.

The square root of 202040354528100 is 14214090.

It is a perfect power (a square), and thus also a powerful number.

202040354528100 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 4 + 0 + 3 + 545 + 2 + 8 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72734527630116 + 129305826897984 = 8528454^2 + 11371272^2 .

It is a super-2 number, since 2×202040354528100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (202040354528107) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 89122343167 + ... + 89122345433.

Almost surely, 2^{202040354528100} is an apocalyptic number.

202040354528100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

202040354528100 is the 14214090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202040354528100

202040354528100 is an abundant number, since it is smaller than the sum of its proper divisors (532937675957781).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202040354528100 is a wasteful number, since it uses less digits than its factorization.

202040354528100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

202040354528100 divided by its sum of digits (36) gives a square (5612232070225 = 2369015²).

The spelling of 202040354528100 in words is "two hundred two trillion, forty billion, three hundred fifty-four million, five hundred twenty-eight thousand, one hundred".