2101311002034 has 12 divisors (see below), whose sum is σ = 4552840504446. Its totient is φ = 700437000672.

The previous prime is 2101311002029. The next prime is 2101311002069. The reversal of 2101311002034 is 4302001131012.

It can be written as a sum of positive squares in only one way, i.e., 1961582319225 + 139728682809 = 1400565^2 + 373803^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 116739500113 = 2101311002034 / (2 + 1 + 0 + 1 + 3 + 1 + 1 + 0 + 0 + 2 + 0 + 3 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 2101311001998 and 2101311002016.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58369750039 + ... + 58369750074.

Almost surely, 2^{2101311002034} is an apocalyptic number.

2101311002034 is an abundant number, since it is smaller than the sum of its proper divisors (2451529502412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101311002034 is a wasteful number, since it uses less digits than its factorization.

2101311002034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116739500121 (or 116739500118 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2101311002034 its reverse (4302001131012), we get a palindrome (6403312133046).

The spelling of 2101311002034 in words is "two trillion, one hundred one billion, three hundred eleven million, two thousand, thirty-four".