101020222000101 has 32 divisors (see below), whose sum is σ = 149166313430400. Its totient is φ = 60563766251520.

The previous prime is 101020222000079. The next prime is 101020222000121. The reversal of 101020222000101 is 101000222020101.

It is not a de Polignac number, because 101020222000101 - 2⁵ = 101020222000069 is a prime.

It is a super-3 number, since 3×101020222000101³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020222000121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584054796 + ... + 584227733.

It is an arithmetic number, because the mean of its divisors is an integer number (4661447294700).

Almost surely, 2^{101020222000101} is an apocalyptic number.

It is an amenable number.

101020222000101 is a deficient number, since it is larger than the sum of its proper divisors (48146091430299).

101020222000101 is a wasteful number, since it uses less digits than its factorization.

101020222000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168282629.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101020222000101 its reverse (101000222020101), we get a palindrome (202020444020202).

The spelling of 101020222000101 in words is "one hundred one trillion, twenty billion, two hundred twenty-two million, one hundred one", and thus it is an aban number.