2102149114641 has 27 divisors (see below), whose sum is σ = 3225671755761. Its totient is φ = 1318949126784.

The previous prime is 2102149114633. The next prime is 2102149114651. The reversal of 2102149114641 is 1464119412012.

The square root of 2102149114641 is 1449879.

It is a perfect power (a square), and thus also a powerful number.

2102149114641 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 1 + 4 + 9 + 1 + 1 + 4 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36593777025 + 2065555337616 = 191295^2 + 1437204^2 .

It is not a de Polignac number, because 2102149114641 - 2³ = 2102149114633 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2102149114596 and 2102149114605.

It is not an unprimeable number, because it can be changed into a prime (2102149114631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73929615 + ... + 73958043.

Almost surely, 2^{2102149114641} is an apocalyptic number.

2102149114641 is the 1449879-th square number.

2102149114641 is the 724940-th centered octagonal number.

It is an amenable number.

2102149114641 is a deficient number, since it is larger than the sum of its proper divisors (1123522641120).

2102149114641 is an frugal number, since it uses more digits than its factorization.

2102149114641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56898 (or 28449 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 2102149114641 by its sum of digits (36), we get a square (75677368127076 = 8699274²).

The spelling of 2102149114641 in words is "two trillion, one hundred two billion, one hundred forty-nine million, one hundred fourteen thousand, six hundred forty-one".