101112100100029 has 2 divisors, whose sum is σ = 101112100100030. Its totient is φ = 101112100100028.

The previous prime is 101112100099979. The next prime is 101112100100041. The reversal of 101112100100029 is 920001001211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98806045255129 + 2306054844900 = 9940123^2 + 1518570^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112100100029 - 2³¹ = 101109952616381 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101112100099979 and 101112100100015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112100103029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556050050014 + 50556050050015.

It is an arithmetic number, because the mean of its divisors is an integer number (50556050050015).

Almost surely, 2^{101112100100029} is an apocalyptic number.

It is an amenable number.

101112100100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112100100029 is an equidigital number, since it uses as much as digits as its factorization.

101112100100029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 101112100100029 in words is "one hundred one trillion, one hundred twelve billion, one hundred million, one hundred thousand, twenty-nine".