101011020102122 has 32 divisors (see below), whose sum is σ = 165739736690640. Its totient is φ = 45892067443200.

The previous prime is 101011020102067. The next prime is 101011020102131. The reversal of 101011020102122 is 221201020110101.

It can be written as a sum of positive squares in 8 ways, for example, as 78450505558441 + 22560514543681 = 8857229^2 + 4749791^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101011020102097 and 101011020102106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110718347 + ... + 111626942.

Almost surely, 2^{101011020102122} is an apocalyptic number.

101011020102122 is a deficient number, since it is larger than the sum of its proper divisors (64728716588518).

101011020102122 is a wasteful number, since it uses less digits than its factorization.

101011020102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222345578.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101011020102122 its reverse (221201020110101), we get a palindrome (322212040212223).

The spelling of 101011020102122 in words is "one hundred one trillion, eleven billion, twenty million, one hundred two thousand, one hundred twenty-two".