21011010120100 has 648 divisors, whose sum is σ = 65763010772928. Its totient is φ = 5726892326400.

The previous prime is 21011010120091. The next prime is 21011010120127. The reversal of 21011010120100 is 102101011012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 252911169 + ... + 252994231.

It is an arithmetic number, because the mean of its divisors is an integer number (101486127736).

Almost surely, 2^{21011010120100} is an apocalyptic number.

21011010120100 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 21011010120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32881505386464).

21011010120100 is an abundant number, since it is smaller than the sum of its proper divisors (44752000652828).

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

21011010120100 is a wasteful number, since it uses less digits than its factorization.

21011010120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83153 (or 83120 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21011010120100 its reverse (102101011012), we get a palindrome (21113111131112).

The spelling of 21011010120100 in words is "twenty-one trillion, eleven billion, ten million, one hundred twenty thousand, one hundred".