21010021220100 has 288 divisors, whose sum is σ = 67061979758592. Its totient is φ = 5036307200000.

The previous prime is 21010021220099. The next prime is 21010021220131. The reversal of 21010021220100 is 102212001012.

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

21010021220100 is a modest number, since divided by 21220100 gives 210100 as remainder.

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, 105160300 + ... + 105359900.

It is an arithmetic number, because the mean of its divisors is an integer number (232854096384).

Almost surely, 2^{21010021220100} is an apocalyptic number.

21010021220100 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 21010021220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33530989879296).

21010021220100 is an abundant number, since it is smaller than the sum of its proper divisors (46051958538492).

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

21010021220100 is a wasteful number, since it uses less digits than its factorization.

21010021220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199987 (or 199980 counting only the distinct ones).

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

Adding to 21010021220100 its reverse (102212001012), we get a palindrome (21112233221112).

The spelling of 21010021220100 in words is "twenty-one trillion, ten billion, twenty-one million, two hundred twenty thousand, one hundred".