201274100 has 18 divisors (see below), whose sum is σ = 436765014. Its totient is φ = 80509600.

The previous prime is 201274093. The next prime is 201274121. The reversal of 201274100 is 1472102.

It can be written as a sum of positive squares in 3 ways, for example, as 4545424 + 196728676 = 2132^2 + 14026^2 .

It is a super-2 number, since 2×201274100² = 81022526661620000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1006271 + ... + 1006470.

It is an arithmetic number, because the mean of its divisors is an integer number (24264723).

Almost surely, 2^201274100 is an apocalyptic number.

201274100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201274100 is an abundant number, since it is smaller than the sum of its proper divisors (235490914).

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

201274100 is a wasteful number, since it uses less digits than its factorization.

201274100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012755 (or 2012748 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 201274100 is about 14187.1103470721. The cubic root of 201274100 is about 586.0427502427.

The spelling of 201274100 in words is "two hundred one million, two hundred seventy-four thousand, one hundred".