2111010212100 has 288 divisors, whose sum is σ = 6753016279296. Its totient is φ = 506433945600.

The previous prime is 2111010212089. The next prime is 2111010212111. The reversal of 2111010212100 is 12120101112.

It is an interprime number because it is at equal distance from previous prime (2111010212089) and next prime (2111010212111).

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, 194360670 + ... + 194371530.

It is an arithmetic number, because the mean of its divisors is an integer number (23447973192).

Almost surely, 2^{2111010212100} is an apocalyptic number.

2111010212100 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 2111010212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376508139648).

2111010212100 is an abundant number, since it is smaller than the sum of its proper divisors (4642006067196).

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

2111010212100 is a wasteful number, since it uses less digits than its factorization.

2111010212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12575 (or 12568 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2111010212100 its reverse (12120101112), we get a palindrome (2123130313212).

The spelling of 2111010212100 in words is "two trillion, one hundred eleven billion, ten million, two hundred twelve thousand, one hundred".