2011212002100 has 216 divisors, whose sum is σ = 6772766077728. Its totient is φ = 459461049600.

The previous prime is 2011212002083. The next prime is 2011212002101. The reversal of 2011212002100 is 12002121102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011212002101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28350274 + ... + 28421126.

It is an arithmetic number, because the mean of its divisors is an integer number (31355398508).

Almost surely, 2^{2011212002100} is an apocalyptic number.

2011212002100 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 2011212002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386383038864).

2011212002100 is an abundant number, since it is smaller than the sum of its proper divisors (4761554075628).

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

2011212002100 is a wasteful number, since it uses less digits than its factorization.

2011212002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72815 (or 72801 counting only the distinct ones).

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

Adding to 2011212002100 its reverse (12002121102), we get a palindrome (2023214123202).

The spelling of 2011212002100 in words is "two trillion, eleven billion, two hundred twelve million, two thousand, one hundred".