211353252100 has 36 divisors (see below), whose sum is σ = 458921950900. Its totient is φ = 84488693760.

The previous prime is 211353252091. The next prime is 211353252107. The reversal of 211353252100 is 1252353112.

It can be written as a sum of positive squares in 6 ways, for example, as 427993344 + 210925258756 = 20688^2 + 459266^2 .

It is a super-3 number, since 3×211353252100³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (211353252107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495885 + ... + 817684.

Almost surely, 2^211353252100 is an apocalyptic number.

211353252100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211353252100 is an abundant number, since it is smaller than the sum of its proper divisors (247568698800).

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

211353252100 is a wasteful number, since it uses less digits than its factorization.

211353252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315192 (or 1315185 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 211353252100 in words is "two hundred eleven billion, three hundred fifty-three million, two hundred fifty-two thousand, one hundred".