2101140411012 has 144 divisors (see below), whose sum is σ = 5484244147200. Its totient is φ = 677777690880.

The previous prime is 2101140410939. The next prime is 2101140411089.

2101140411012 is a `hidden beast` number, since 2 + 101 + 140 + 411 + 0 + 12 = 666.

2101140411012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198421414 + ... + 198432002.

It is an arithmetic number, because the mean of its divisors is an integer number (38085028800).

Almost surely, 2^{2101140411012} 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 2101140411012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742122073600).

2101140411012 is an abundant number, since it is smaller than the sum of its proper divisors (3383103736188).

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

2101140411012 is a wasteful number, since it uses less digits than its factorization.

2101140411012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11426 (or 11421 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 2101140 and 411012, that added together give a palindrome (2512152).

The spelling of 2101140411012 in words is "two trillion, one hundred one billion, one hundred forty million, four hundred eleven thousand, twelve".