2111200010010 has 384 divisors, whose sum is σ = 7080080716800. Its totient is φ = 433398034944.

The previous prime is 2111200009949. The next prime is 2111200010021. The reversal of 2111200010010 is 100100021112.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2111200009974 and 2111200010001.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14777379 + ... + 14919561.

It is an arithmetic number, because the mean of its divisors is an integer number (18437710200).

Almost surely, 2^{2111200010010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111200010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540040358400).

2111200010010 is an abundant number, since it is smaller than the sum of its proper divisors (4968880706790).

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

2111200010010 is a wasteful number, since it uses less digits than its factorization.

2111200010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142267 (or 142250 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2111200010010 its reverse (100100021112), we get a palindrome (2211300031122).

The spelling of 2111200010010 in words is "two trillion, one hundred eleven billion, two hundred million, ten thousand, ten".