101121012829 has 2 divisors, whose sum is σ = 101121012830. Its totient is φ = 101121012828.

The previous prime is 101121012787. The next prime is 101121012851. The reversal of 101121012829 is 928210121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98979452100 + 2141560729 = 314610^2 + 46277^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121012829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101121012797 and 101121012806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121012869) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560506414 + 50560506415.

It is an arithmetic number, because the mean of its divisors is an integer number (50560506415).

Almost surely, 2^101121012829 is an apocalyptic number.

It is an amenable number.

101121012829 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121012829 is an equidigital number, since it uses as much as digits as its factorization.

101121012829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 101121012829 in words is "one hundred one billion, one hundred twenty-one million, twelve thousand, eight hundred twenty-nine".