1022120102101 has 16 divisors (see below), whose sum is σ = 1169170224768. Its totient is φ = 875328552000.

The previous prime is 1022120102083. The next prime is 1022120102141. The reversal of 1022120102101 is 1012010212201.

It is not a de Polignac number, because 1022120102101 - 2¹⁷ = 1022119971029 is a prime.

It is a super-2 number, since 2×1022120102101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022120102141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46341526 + ... + 46363576.

It is an arithmetic number, because the mean of its divisors is an integer number (73073139048).

Almost surely, 2^{1022120102101} is an apocalyptic number.

It is an amenable number.

1022120102101 is a deficient number, since it is larger than the sum of its proper divisors (147050122667).

1022120102101 is a wasteful number, since it uses less digits than its factorization.

1022120102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27612.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1022120102101 its reverse (1012010212201), we get a palindrome (2034130314302).

The spelling of 1022120102101 in words is "one trillion, twenty-two billion, one hundred twenty million, one hundred two thousand, one hundred one".