101112010229 has 2 divisors, whose sum is σ = 101112010230. Its totient is φ = 101112010228.

The previous prime is 101112010187. The next prime is 101112010243. The reversal of 101112010229 is 922010211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95808820900 + 5303189329 = 309530^2 + 72823^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101112010229 is a prime.

It is a super-2 number, since 2×101112010229² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101112010229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112010829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556005114 + 50556005115.

It is an arithmetic number, because the mean of its divisors is an integer number (50556005115).

Almost surely, 2^101112010229 is an apocalyptic number.

It is an amenable number.

101112010229 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112010229 is an equidigital number, since it uses as much as digits as its factorization.

101112010229 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 20.

The spelling of 101112010229 in words is "one hundred one billion, one hundred twelve million, ten thousand, two hundred twenty-nine".