2100010022100 has 432 divisors, whose sum is σ = 7142860827648. Its totient is φ = 514035118080.

The previous prime is 2100010022093. The next prime is 2100010022101. The reversal of 2100010022100 is 12200100012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100010022101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 210691317 + ... + 210701283.

It is an arithmetic number, because the mean of its divisors is an integer number (16534400064).

Almost surely, 2^{2100010022100} is an apocalyptic number.

2100010022100 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 2100010022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571430413824).

2100010022100 is an abundant number, since it is smaller than the sum of its proper divisors (5042850805548).

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

2100010022100 is a wasteful number, since it uses less digits than its factorization.

2100010022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10344 (or 10334 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2100010022100 its reverse (12200100012), we get a palindrome (2112210122112).

The spelling of 2100010022100 in words is "two trillion, one hundred billion, ten million, twenty-two thousand, one hundred".