100010100111029 has 2 divisors, whose sum is σ = 100010100111030. Its totient is φ = 100010100111028.

The previous prime is 100010100111023. The next prime is 100010100111109. The reversal of 100010100111029 is 920111001010001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71465635450225 + 28544464660804 = 8453735^2 + 5342702^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010100111029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010100110998 and 100010100111016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010100111023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005050055514 + 50005050055515.

It is an arithmetic number, because the mean of its divisors is an integer number (50005050055515).

Almost surely, 2^{100010100111029} is an apocalyptic number.

It is an amenable number.

100010100111029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010100111029 is an equidigital number, since it uses as much as digits as its factorization.

100010100111029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 100010100111029 in words is "one hundred trillion, ten billion, one hundred million, one hundred eleven thousand, twenty-nine".