101024100 has 54 divisors (see below), whose sum is σ = 316657250. Its totient is φ = 26939520.

The previous prime is 101024093. The next prime is 101024101. The reversal of 101024100 is 1420101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 23970816 + 77053284 = 4896^2 + 8778^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101024101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55225 + ... + 57024.

Almost surely, 2^101024100 is an apocalyptic number.

101024100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101024100 is an abundant number, since it is smaller than the sum of its proper divisors (215633150).

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

101024100 is a wasteful number, since it uses less digits than its factorization.

101024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112269 (or 112259 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101024100 is about 10051.0745694179. The cubic root of 101024100 is about 465.7379887353.

Adding to 101024100 its reverse (1420101), we get a palindrome (102444201).

It can be divided in two parts, 101024 and 100, that added together give a square (101124 = 318²).

The spelling of 101024100 in words is "one hundred one million, twenty-four thousand, one hundred".