1042101209461 has 32 divisors (see below), whose sum is σ = 1163766951648. Its totient is φ = 926882611200.

The previous prime is 1042101209437. The next prime is 1042101209467. The reversal of 1042101209461 is 1649021012401.

It can be written as a sum of positive squares in 16 ways, for example, as 604671091236 + 437430118225 = 777606^2 + 661385^2 .

It is not a de Polignac number, because 1042101209461 - 2³¹ = 1039953725813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042101209467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70705885 + ... + 70720621.

It is an arithmetic number, because the mean of its divisors is an integer number (36367717239).

Almost surely, 2^{1042101209461} is an apocalyptic number.

It is an amenable number.

1042101209461 is a deficient number, since it is larger than the sum of its proper divisors (121665742187).

1042101209461 is a wasteful number, since it uses less digits than its factorization.

1042101209461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16201.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 1042101209461 in words is "one trillion, forty-two billion, one hundred one million, two hundred nine thousand, four hundred sixty-one".