2900400112101 has 192 divisors, whose sum is σ = 4442561925120. Its totient is φ = 1679452669440.

The previous prime is 2900400112097. The next prime is 2900400112111. The reversal of 2900400112101 is 1012110040092.

It is a happy number.

It is not a de Polignac number, because 2900400112101 - 2² = 2900400112097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2900400112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10248763506 + ... + 10248763788.

It is an arithmetic number, because the mean of its divisors is an integer number (23138343360).

Almost surely, 2^{2900400112101} is an apocalyptic number.

It is an amenable number.

2900400112101 is a deficient number, since it is larger than the sum of its proper divisors (1542161813019).

2900400112101 is a wasteful number, since it uses less digits than its factorization.

2900400112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 2900400112101 its reverse (1012110040092), we get a palindrome (3912510152193).

The spelling of 2900400112101 in words is "two trillion, nine hundred billion, four hundred million, one hundred twelve thousand, one hundred one".