101020112122221 has 12 divisors (see below), whose sum is σ = 147209248934748. Its totient is φ = 66750752552064.

The previous prime is 101020112122219. The next prime is 101020112122309. The reversal of 101020112122221 is 122221211020101.

101020112122221 is a `hidden beast` number, since 101 + 0 + 201 + 121 + 22 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30970493832996 + 70049618289225 = 5565114^2 + 8369565^2 .

It is not a de Polignac number, because 101020112122221 - 2¹ = 101020112122219 is a prime.

It is a super-2 number, since 2×101020112122221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101020112122194 and 101020112122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020112122211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49665737490 + ... + 49665739523.

It is an arithmetic number, because the mean of its divisors is an integer number (12267437411229).

Almost surely, 2^{101020112122221} is an apocalyptic number.

It is an amenable number.

101020112122221 is a deficient number, since it is larger than the sum of its proper divisors (46189136812527).

101020112122221 is a wasteful number, since it uses less digits than its factorization.

101020112122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99331477132 (or 99331477129 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101020112122221 its reverse (122221211020101), we get a palindrome (223241323142322).

The spelling of 101020112122221 in words is "one hundred one trillion, twenty billion, one hundred twelve million, one hundred twenty-two thousand, two hundred twenty-one".