101021400 has 72 divisors (see below), whose sum is σ = 339269580. Its totient is φ = 26938560.

The previous prime is 101021399. The next prime is 101021443. The reversal of 101021400 is 4120101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26262 + ... + 29861.

Almost surely, 2^101021400 is an apocalyptic number.

101021400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021400 is an abundant number, since it is smaller than the sum of its proper divisors (238248180).

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

101021400 is a wasteful number, since it uses less digits than its factorization.

101021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56145 (or 56133 counting only the distinct ones).

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

The square root of 101021400 is about 10050.9402545235. The cubic root of 101021400 is about 465.7338395479.

Adding to 101021400 its reverse (4120101), we get a palindrome (105141501).

The spelling of 101021400 in words is "one hundred one million, twenty-one thousand, four hundred".