101001121100029 has 2 divisors, whose sum is σ = 101001121100030. Its totient is φ = 101001121100028.

The previous prime is 101001121099951. The next prime is 101001121100041. The reversal of 101001121100029 is 920001121100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52918684877529 + 48082436222500 = 7274523^2 + 6934150^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001121100029 - 2¹³ = 101001121091837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101001121099979 and 101001121100015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001121100059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500560550014 + 50500560550015.

It is an arithmetic number, because the mean of its divisors is an integer number (50500560550015).

Almost surely, 2^{101001121100029} is an apocalyptic number.

It is an amenable number.

101001121100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001121100029 is an equidigital number, since it uses as much as digits as its factorization.

101001121100029 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 101001121100029 in words is "one hundred one trillion, one billion, one hundred twenty-one million, one hundred thousand, twenty-nine".