1020122200123 has 16 divisors (see below), whose sum is σ = 1103273450496. Its totient is φ = 937641636000.

The previous prime is 1020122200099. The next prime is 1020122200159. The reversal of 1020122200123 is 3210022210201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1020122200123 - 2²¹ = 1020120102971 is a prime.

It is a super-2 number, since 2×1020122200123² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020122200097 and 1020122200106.

It is not an unprimeable number, because it can be changed into a prime (1020122200183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12368086 + ... + 12450292.

It is an arithmetic number, because the mean of its divisors is an integer number (68954590656).

Almost surely, 2^{1020122200123} is an apocalyptic number.

1020122200123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1020122200123 is a deficient number, since it is larger than the sum of its proper divisors (83151250373).

1020122200123 is a wasteful number, since it uses less digits than its factorization.

1020122200123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86274.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1020122200123 its reverse (3210022210201), we get a palindrome (4230144410324).

The spelling of 1020122200123 in words is "one trillion, twenty billion, one hundred twenty-two million, two hundred thousand, one hundred twenty-three".