100355270521 has 27 divisors (see below), whose sum is σ = 114103785999. Its totient is φ = 88194057600.

The previous prime is 100355270473. The next prime is 100355270531. The reversal of 100355270521 is 125072553001.

The square root of 100355270521 is 316789.

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

It can be written as a sum of positive squares in only one way, i.e., 1935032121 + 98420238400 = 43989^2 + 313720^2 .

It is not a de Polignac number, because 100355270521 - 2³⁵ = 65995532153 is a prime.

It is a super-2 number, since 2×100355270521² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100355270531) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108024585 + ... + 108025513.

Almost surely, 2^100355270521 is an apocalyptic number.

100355270521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100355270521 is the 316789-th square number.

100355270521 is the 158395-th centered octagonal number.

It is an amenable number.

100355270521 is a deficient number, since it is larger than the sum of its proper divisors (13748515478).

100355270521 is an frugal number, since it uses more digits than its factorization.

100355270521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 31.

The spelling of 100355270521 in words is "one hundred billion, three hundred fifty-five million, two hundred seventy thousand, five hundred twenty-one".