21220102220100 has 288 divisors, whose sum is σ = 70742955494400. Its totient is φ = 4810621708800.

The previous prime is 21220102220041. The next prime is 21220102220113. The reversal of 21220102220100 is 102220102212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21220102220100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 297410430 + ... + 297481770.

Almost surely, 2^{21220102220100} is an apocalyptic number.

21220102220100 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 21220102220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35371477747200).

21220102220100 is an abundant number, since it is smaller than the sum of its proper divisors (49522853274300).

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

21220102220100 is a wasteful number, since it uses less digits than its factorization.

21220102220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72523 (or 72516 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21220102220100 its reverse (102220102212), we get a palindrome (21322322322312).

The spelling of 21220102220100 in words is "twenty-one trillion, two hundred twenty billion, one hundred two million, two hundred twenty thousand, one hundred".