101221222012123 has 8 divisors (see below), whose sum is σ = 101829567097440. Its totient is φ = 100612903474560.

The previous prime is 101221222012087. The next prime is 101221222012133. The reversal of 101221222012123 is 321210222122101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101221222012123 - 2¹⁷ = 101221221881051 is a prime.

It is a super-4 number, since 4×101221222012123⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101221222012094 and 101221222012103.

It is not an unprimeable number, because it can be changed into a prime (101221222012133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1038163 + ... + 14266051.

It is an arithmetic number, because the mean of its divisors is an integer number (12728695887180).

Almost surely, 2^{101221222012123} is an apocalyptic number.

101221222012123 is a deficient number, since it is larger than the sum of its proper divisors (608345085317).

101221222012123 is a wasteful number, since it uses less digits than its factorization.

101221222012123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13273877.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 101221222012123 its reverse (321210222122101), we get a palindrome (422431444134224).

The spelling of 101221222012123 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred twenty-two million, twelve thousand, one hundred twenty-three".