21101001210100 has 288 divisors, whose sum is σ = 56969983687680. Its totient is φ = 6618433536000.

The previous prime is 21101001210097. The next prime is 21101001210119. The reversal of 21101001210100 is 101210010112.

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

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, 132141106 + ... + 132300694.

It is an arithmetic number, because the mean of its divisors is an integer number (197812443360).

Almost surely, 2^{21101001210100} is an apocalyptic number.

21101001210100 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 21101001210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28484991843840).

21101001210100 is an abundant number, since it is smaller than the sum of its proper divisors (35868982477580).

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

21101001210100 is a wasteful number, since it uses less digits than its factorization.

21101001210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159939 (or 159932 counting only the distinct ones).

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

Adding to 21101001210100 its reverse (101210010112), we get a palindrome (21202211220212).

It can be divided in two parts, 211010012 and 10100, that added together give a palindrome (211020112).

The spelling of 21101001210100 in words is "twenty-one trillion, one hundred one billion, one million, two hundred ten thousand, one hundred".