101210220221123 has 16 divisors (see below), whose sum is σ = 109199386590336. Its totient is φ = 93250170380160.

The previous prime is 101210220221107. The next prime is 101210220221129. The reversal of 101210220221123 is 321122022012101.

It is a cyclic number.

It is not a de Polignac number, because 101210220221123 - 2⁴ = 101210220221107 is a prime.

It is a super-2 number, since 2×101210220221123² (a number of 29 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 = 101210220221095 and 101210220221104.

It is not an unprimeable number, because it can be changed into a prime (101210220221129) 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, 416112461 + ... + 416355617.

It is an arithmetic number, because the mean of its divisors is an integer number (6824961661896).

Almost surely, 2^{101210220221123} is an apocalyptic number.

101210220221123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101210220221123 is a deficient number, since it is larger than the sum of its proper divisors (7989166369213).

101210220221123 is a wasteful number, since it uses less digits than its factorization.

101210220221123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302894.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101210220221123 its reverse (321122022012101), we get a palindrome (422332242233224).

The spelling of 101210220221123 in words is "one hundred one trillion, two hundred ten billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty-three".