101012022113 has 2 divisors, whose sum is σ = 101012022114. Its totient is φ = 101012022112.

The previous prime is 101012022109. The next prime is 101012022121. The reversal of 101012022113 is 311220210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92917061329 + 8094960784 = 304823^2 + 89972^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012022113 - 2² = 101012022109 is a prime.

It is a super-2 number, since 2×101012022113² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101012028113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506011056 + 50506011057.

It is an arithmetic number, because the mean of its divisors is an integer number (50506011057).

Almost surely, 2^101012022113 is an apocalyptic number.

It is an amenable number.

101012022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012022113 is an equidigital number, since it uses as much as digits as its factorization.

101012022113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101012022113 its reverse (311220210101), we get a palindrome (412232232214).

The spelling of 101012022113 in words is "one hundred one billion, twelve million, twenty-two thousand, one hundred thirteen".