101811712252042 has 64 divisors (see below), whose sum is σ = 167381555546016. Its totient is φ = 46162043596800.

The previous prime is 101811712252039. The next prime is 101811712252051. The reversal of 101811712252042 is 240252217118101.

It is a Cunningham number, because it is equal to 10090179²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 34279163135281 + 67532549116761 = 5854841^2 + 8217819^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101811712251992 and 101811712252010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001510488 + ... + 1001612140.

Almost surely, 2^{101811712252042} is an apocalyptic number.

101811712252042 is a deficient number, since it is larger than the sum of its proper divisors (65569843293974).

101811712252042 is a wasteful number, since it uses less digits than its factorization.

101811712252042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103835.

The product of its (nonzero) digits is 17920, while the sum is 37.

The spelling of 101811712252042 in words is "one hundred one trillion, eight hundred eleven billion, seven hundred twelve million, two hundred fifty-two thousand, forty-two".