100102022022029 has 2 divisors, whose sum is σ = 100102022022030. Its totient is φ = 100102022022028.

The previous prime is 100102022022019. The next prime is 100102022022133. The reversal of 100102022022029 is 920220220201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77268934575625 + 22833087446404 = 8790275^2 + 4778398^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100102022022029 is a prime.

It is a super-2 number, since 2×100102022022029² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100102022021995 and 100102022022013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102022022019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051011011014 + 50051011011015.

It is an arithmetic number, because the mean of its divisors is an integer number (50051011011015).

Almost surely, 2^{100102022022029} is an apocalyptic number.

It is an amenable number.

100102022022029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102022022029 is an equidigital number, since it uses as much as digits as its factorization.

100102022022029 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 23.

The spelling of 100102022022029 in words is "one hundred trillion, one hundred two billion, twenty-two million, twenty-two thousand, twenty-nine".