101212400 has 60 divisors (see below), whose sum is σ = 244155504. Its totient is φ = 40320000.

The previous prime is 101212393. The next prime is 101212409. The reversal of 101212400 is 4212101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160085 + ... + 160715.

Almost surely, 2^101212400 is an apocalyptic number.

101212400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122077752).

101212400 is an abundant number, since it is smaller than the sum of its proper divisors (142943104).

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

101212400 is a wasteful number, since it uses less digits than its factorization.

101212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 101212400 is about 10060.4373662381. The cubic root of 101212400 is about 466.0271739635.

Adding to 101212400 its reverse (4212101), we get a palindrome (105424501).

It can be divided in two parts, 10121 and 2400, that added together give a palindrome (12521).

The spelling of 101212400 in words is "one hundred one million, two hundred twelve thousand, four hundred".