100111000101037 has 2 divisors, whose sum is σ = 100111000101038. Its totient is φ = 100111000101036.

The previous prime is 100111000100987. The next prime is 100111000101089. The reversal of 100111000101037 is 730101000111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72182882594601 + 27928117506436 = 8496051^2 + 5284706^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111000101037 - 2²⁷ = 100110865883309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100111000101037.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111000102037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500050518 + 50055500050519.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500050519).

Almost surely, 2^{100111000101037} is an apocalyptic number.

It is an amenable number.

100111000101037 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111000101037 is an equidigital number, since it uses as much as digits as its factorization.

100111000101037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 16.

Adding to 100111000101037 its reverse (730101000111001), we get a palindrome (830212000212038).

The spelling of 100111000101037 in words is "one hundred trillion, one hundred eleven billion, one hundred one thousand, thirty-seven".