2101120000140 has 48 divisors (see below), whose sum is σ = 6723584001792. Its totient is φ = 480255999936.

The previous prime is 2101120000127. The next prime is 2101120000141. The reversal of 2101120000140 is 410000211012.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2101120000141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2501332914 + ... + 2501333753.

It is an arithmetic number, because the mean of its divisors is an integer number (140074666704).

Almost surely, 2^{2101120000140} is an apocalyptic number.

2101120000140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101120000140 is an abundant number, since it is smaller than the sum of its proper divisors (4622464001652).

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

2101120000140 is a wasteful number, since it uses less digits than its factorization.

2101120000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002666686 (or 5002666684 counting only the distinct ones).

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

Adding to 2101120000140 its reverse (410000211012), we get a palindrome (2511120211152).

The spelling of 2101120000140 in words is "two trillion, one hundred one billion, one hundred twenty million, one hundred forty", and thus it is an aban number.