101123123100 has 72 divisors (see below), whose sum is σ = 293258990640. Its totient is φ = 26903854080.

The previous prime is 101123123093. The next prime is 101123123131. The reversal of 101123123100 is 1321321101.

It is a happy number.

It is a super-2 number, since 2×101123123100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101123123100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259335 + ... + 519134.

Almost surely, 2^101123123100 is an apocalyptic number.

101123123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101123123100 is an abundant number, since it is smaller than the sum of its proper divisors (192135867540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101123123100 is a wasteful number, since it uses less digits than its factorization.

101123123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778919 (or 778912 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101123123100 its reverse (1321321101), we get a palindrome (102444444201).

The spelling of 101123123100 in words is "one hundred one billion, one hundred twenty-three million, one hundred twenty-three thousand, one hundred".