211100102210100 has 144 divisors (see below), whose sum is σ = 613438105323456. Its totient is φ = 56049166080000.

The previous prime is 211100102210057. The next prime is 211100102210143. The reversal of 211100102210100 is 1012201001112.

It is an interprime number because it is at equal distance from previous prime (211100102210057) and next prime (211100102210143).

It is a super-2 number, since 2×211100102210100² (a number of 29 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, 63460507 + ... + 66704093.

It is an arithmetic number, because the mean of its divisors is an integer number (4259986842524).

Almost surely, 2^{211100102210100} is an apocalyptic number.

211100102210100 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 211100102210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306719052661728).

211100102210100 is an abundant number, since it is smaller than the sum of its proper divisors (402338003113356).

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

211100102210100 is a wasteful number, since it uses less digits than its factorization.

211100102210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244546 (or 3244539 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211100102210100 its reverse (1012201001112), we get a palindrome (212112303211212).

The spelling of 211100102210100 in words is "two hundred eleven trillion, one hundred billion, one hundred two million, two hundred ten thousand, one hundred".