101102021029 has 2 divisors, whose sum is σ = 101102021030. Its totient is φ = 101102021028.

The previous prime is 101102020997. The next prime is 101102021051. The reversal of 101102021029 is 920120201101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71345081025 + 29756940004 = 267105^2 + 172502^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102021029 - 2⁵ = 101102020997 is a prime.

It is a super-2 number, since 2×101102021029² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101102020997 and 101102021015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101102021329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551010514 + 50551010515.

It is an arithmetic number, because the mean of its divisors is an integer number (50551010515).

Almost surely, 2^101102021029 is an apocalyptic number.

It is an amenable number.

101102021029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102021029 is an equidigital number, since it uses as much as digits as its factorization.

101102021029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 101102021029 in words is "one hundred one billion, one hundred two million, twenty-one thousand, twenty-nine".