101223302121123 has 128 divisors (see below), whose sum is σ = 175511242948608. Its totient is φ = 50429697652224.

The previous prime is 101223302121113. The next prime is 101223302121163. The reversal of 101223302121123 is 321121203322101.

It is not a de Polignac number, because 101223302121123 - 2⁶ = 101223302121059 is a prime.

It is a super-2 number, since 2×101223302121123² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101223302121093 and 101223302121102.

It is not an unprimeable number, because it can be changed into a prime (101223302121113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1028193540 + ... + 1028291982.

It is an arithmetic number, because the mean of its divisors is an integer number (1371181585536).

Almost surely, 2^{101223302121123} is an apocalyptic number.

101223302121123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101223302121123 is a deficient number, since it is larger than the sum of its proper divisors (74287940827485).

101223302121123 is a wasteful number, since it uses less digits than its factorization.

101223302121123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100545.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101223302121123 its reverse (321121203322101), we get a palindrome (422344505443224).

The spelling of 101223302121123 in words is "one hundred one trillion, two hundred twenty-three billion, three hundred two million, one hundred twenty-one thousand, one hundred twenty-three".