2101200014004 has 192 divisors, whose sum is σ = 6334289289216. Its totient is φ = 526893497856.

The previous prime is 2101200013973. The next prime is 2101200014021. The reversal of 2101200014004 is 4004100021012.

It is a super-2 number, since 2×2101200014004² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3943894 + ... + 4444850.

It is an arithmetic number, because the mean of its divisors is an integer number (32991090048).

Almost surely, 2^{2101200014004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101200014004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167144644608).

2101200014004 is an abundant number, since it is smaller than the sum of its proper divisors (4233089275212).

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

2101200014004 is a wasteful number, since it uses less digits than its factorization.

2101200014004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501174 (or 501172 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2101200014004 its reverse (4004100021012), we get a palindrome (6105300035016).

The spelling of 2101200014004 in words is "two trillion, one hundred one billion, two hundred million, fourteen thousand, four".