101234100 has 72 divisors (see below), whose sum is σ = 319542048. Its totient is φ = 24540800.

The previous prime is 101234093. The next prime is 101234123. The reversal of 101234100 is 1432101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 12039 + ... + 18638.

It is an arithmetic number, because the mean of its divisors is an integer number (4438084).

Almost surely, 2^101234100 is an apocalyptic number.

101234100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101234100 is an abundant number, since it is smaller than the sum of its proper divisors (218307948).

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

101234100 is a wasteful number, since it uses less digits than its factorization.

101234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30705 (or 30698 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101234100 is about 10061.5157903767. The cubic root of 101234100 is about 466.0604770866.

Adding to 101234100 its reverse (1432101), we get a palindrome (102666201).

The spelling of 101234100 in words is "one hundred one million, two hundred thirty-four thousand, one hundred".