21021111022100 has 288 divisors, whose sum is σ = 53102136245760. Its totient is φ = 7074627840000.

The previous prime is 21021111022091. The next prime is 21021111022127. The reversal of 21021111022100 is 122011112012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 4970702786 + ... + 4970707014.

It is an arithmetic number, because the mean of its divisors is an integer number (184382417520).

Almost surely, 2^{21021111022100} is an apocalyptic number.

21021111022100 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 21021111022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26551068122880).

21021111022100 is an abundant number, since it is smaller than the sum of its proper divisors (32081025223660).

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

21021111022100 is a wasteful number, since it uses less digits than its factorization.

21021111022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21021111022100 its reverse (122011112012), we get a palindrome (21143122134112).

The spelling of 21021111022100 in words is "twenty-one trillion, twenty-one billion, one hundred eleven million, twenty-two thousand, one hundred".