2141835177001 has 9 divisors (see below), whose sum is σ = 2319285911781. Its totient is φ = 1977061062912.

The previous prime is 2141835176983. The next prime is 2141835177019. The reversal of 2141835177001 is 1007715381412.

The square root of 2141835177001 is 1463501.

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

It is an interprime number because it is at equal distance from previous prime (2141835176983) and next prime (2141835177019).

It can be written as a sum of positive squares in 4 ways, for example, as 116621567001 + 2025213610000 = 341499^2 + 1423100^2 .

It is not a de Polignac number, because 2141835177001 - 2⁵ = 2141835176969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2141835171001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18969225 + ... + 19081801.

Almost surely, 2^{2141835177001} is an apocalyptic number.

2141835177001 is the 1463501-st square number.

2141835177001 is the 731751-st centered octagonal number.

It is an amenable number.

2141835177001 is a deficient number, since it is larger than the sum of its proper divisors (177450734780).

2141835177001 is an frugal number, since it uses more digits than its factorization.

2141835177001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225180 (or 112590 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 40.

The spelling of 2141835177001 in words is "two trillion, one hundred forty-one billion, eight hundred thirty-five million, one hundred seventy-seven thousand, one".