101202400 has 144 divisors (see below), whose sum is σ = 274294944. Its totient is φ = 36218880.

The previous prime is 101202389. The next prime is 101202401. The reversal of 101202400 is 4202101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384669 + ... + 384931.

It is an arithmetic number, because the mean of its divisors is an integer number (1904826).

Almost surely, 2^101202400 is an apocalyptic number.

101202400 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 101202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137147472).

101202400 is an abundant number, since it is smaller than the sum of its proper divisors (173092544).

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

101202400 is a wasteful number, since it uses less digits than its factorization.

101202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 101202400 is about 10059.9403576761. The cubic root of 101202400 is about 466.0118252999.

Adding to 101202400 its reverse (4202101), we get a palindrome (105404501).

The spelling of 101202400 in words is "one hundred one million, two hundred two thousand, four hundred".