211202000100 has 540 divisors, whose sum is σ = 857693622324. Its totient is φ = 44560212480.

The previous prime is 211202000083. The next prime is 211202000129. The reversal of 211202000100 is 1000202112.

It can be written as a sum of positive squares in 6 ways, for example, as 39984801444 + 171217198656 = 199962^2 + 413784^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5139234 + ... + 5180166.

Almost surely, 2^211202000100 is an apocalyptic number.

211202000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211202000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428846811162).

211202000100 is an abundant number, since it is smaller than the sum of its proper divisors (646491622224).

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

211202000100 is a wasteful number, since it uses less digits than its factorization.

211202000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40986 (or 40963 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211202000100 its reverse (1000202112), we get a palindrome (212202202212).

The spelling of 211202000100 in words is "two hundred eleven billion, two hundred two million, one hundred", and thus it is an aban number.