2102120022100 has 288 divisors, whose sum is σ = 5730753208320. Its totient is φ = 652591779840.

The previous prime is 2102120022029. The next prime is 2102120022139. The reversal of 2102120022100 is 12200212012.

It is a happy number.

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, 616998597 + ... + 617002003.

It is an arithmetic number, because the mean of its divisors is an integer number (19898448640).

Almost surely, 2^{2102120022100} is an apocalyptic number.

2102120022100 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 2102120022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865376604160).

2102120022100 is an abundant number, since it is smaller than the sum of its proper divisors (3628633186220).

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

2102120022100 is a wasteful number, since it uses less digits than its factorization.

2102120022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5487 (or 5480 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2102120022100 its reverse (12200212012), we get a palindrome (2114320234112).

The spelling of 2102120022100 in words is "two trillion, one hundred two billion, one hundred twenty million, twenty-two thousand, one hundred".