101400334200 has 288 divisors, whose sum is σ = 371910839040. Its totient is φ = 24554323200.

The previous prime is 101400334181. The next prime is 101400334219. The reversal of 101400334200 is 2433004101.

It is an interprime number because it is at equal distance from previous prime (101400334181) and next prime (101400334219).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21837079 + ... + 21841721.

It is an arithmetic number, because the mean of its divisors is an integer number (1291357080).

Almost surely, 2^101400334200 is an apocalyptic number.

101400334200 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 101400334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185955419520).

101400334200 is an abundant number, since it is smaller than the sum of its proper divisors (270510504840).

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

101400334200 is a wasteful number, since it uses less digits than its factorization.

101400334200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5779 (or 5767 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 101400334200 its reverse (2433004101), we get a palindrome (103833338301).

It can be divided in two parts, 101400 and 334200, that added together give a square (435600 = 660²).

The spelling of 101400334200 in words is "one hundred one billion, four hundred million, three hundred thirty-four thousand, two hundred".