21212001010100 has 288 divisors, whose sum is σ = 51204722688000. Its totient is φ = 7591627929600.

The previous prime is 21212001010073. The next prime is 21212001010103. The reversal of 21212001010100 is 101010021212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212001010103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 828483899 + ... + 828509501.

It is an arithmetic number, because the mean of its divisors is an integer number (177794176000).

Almost surely, 2^{21212001010100} is an apocalyptic number.

21212001010100 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 21212001010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25602361344000).

21212001010100 is an abundant number, since it is smaller than the sum of its proper divisors (29992721677900).

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

21212001010100 is a wasteful number, since it uses less digits than its factorization.

21212001010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25943 (or 25936 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21212001010100 its reverse (101010021212), we get a palindrome (21313011031312).

The spelling of 21212001010100 in words is "twenty-one trillion, two hundred twelve billion, one million, ten thousand, one hundred".