2101212020100 has 288 divisors, whose sum is σ = 6362312785920. Its totient is φ = 534728194560.

The previous prime is 2101212020077. The next prime is 2101212020111. The reversal of 2101212020100 is 10202121012.

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

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, 543930769 + ... + 543934631.

It is an arithmetic number, because the mean of its divisors is an integer number (22091363840).

Almost surely, 2^{2101212020100} is an apocalyptic number.

2101212020100 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 2101212020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181156392960).

2101212020100 is an abundant number, since it is smaller than the sum of its proper divisors (4261100765820).

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

2101212020100 is a wasteful number, since it uses less digits than its factorization.

2101212020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4619 (or 4612 counting only the distinct ones).

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

Adding to 2101212020100 its reverse (10202121012), we get a palindrome (2111414141112).

The spelling of 2101212020100 in words is "two trillion, one hundred one billion, two hundred twelve million, twenty thousand, one hundred".