1261042101 has 40 divisors (see below), whose sum is σ = 2098825344. Its totient is φ = 747982080.

The previous prime is 1261042067. The next prime is 1261042109. The reversal of 1261042101 is 1012401621.

1261042101 is a `hidden beast` number, since 1 + 2 + 610 + 42 + 10 + 1 = 666.

It is not a de Polignac number, because 1261042101 - 2¹³ = 1261033909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261042109) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26821 + ... + 56933.

Almost surely, 2^1261042101 is an apocalyptic number.

1261042101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1261042101 is a deficient number, since it is larger than the sum of its proper divisors (837783243).

1261042101 is a wasteful number, since it uses less digits than its factorization.

1261042101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30183 (or 30174 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1261042101 is about 35511.1545996466. The cubic root of 1261042101 is about 1080.3799820340.

Adding to 1261042101 its reverse (1012401621), we get a palindrome (2273443722).

The spelling of 1261042101 in words is "one billion, two hundred sixty-one million, forty-two thousand, one hundred one".