211020410100 has 144 divisors (see below), whose sum is σ = 648856970496. Its totient is φ = 52766208000.

The previous prime is 211020410047. The next prime is 211020410119. The reversal of 211020410100 is 1014020112.

It is a happy number.

It is a super-2 number, since 2×211020410100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1305760 + ... + 1458440.

It is an arithmetic number, because the mean of its divisors is an integer number (4505951184).

Almost surely, 2^211020410100 is an apocalyptic number.

211020410100 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 211020410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324428485248).

211020410100 is an abundant number, since it is smaller than the sum of its proper divisors (437836560396).

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

211020410100 is a wasteful number, since it uses less digits than its factorization.

211020410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152986 (or 152979 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211020410100 its reverse (1014020112), we get a palindrome (212034430212).

The spelling of 211020410100 in words is "two hundred eleven billion, twenty million, four hundred ten thousand, one hundred".