2700984310101 has 144 divisors (see below), whose sum is σ = 5019993538560. Its totient is φ = 1369096344000.

The previous prime is 2700984310091. The next prime is 2700984310117. The reversal of 2700984310101 is 1010134890072.

It is a happy number.

It is not a de Polignac number, because 2700984310101 - 2⁷ = 2700984309973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2700984310151) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 377281560 + ... + 377288718.

It is an arithmetic number, because the mean of its divisors is an integer number (34861066240).

Almost surely, 2^{2700984310101} is an apocalyptic number.

2700984310101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2700984310101 is a deficient number, since it is larger than the sum of its proper divisors (2319009228459).

2700984310101 is a wasteful number, since it uses less digits than its factorization.

2700984310101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8388 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 2700984310101 in words is "two trillion, seven hundred billion, nine hundred eighty-four million, three hundred ten thousand, one hundred one".