101400004200 has 192 divisors, whose sum is σ = 344356531200. Its totient is φ = 24478585600.

The previous prime is 101400004141. The next prime is 101400004243. The reversal of 101400004200 is 2400004101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1545259 + ... + 1609541.

It is an arithmetic number, because the mean of its divisors is an integer number (1793523600).

Almost surely, 2^101400004200 is an apocalyptic number.

101400004200 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 101400004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172178265600).

101400004200 is an abundant number, since it is smaller than the sum of its proper divisors (242956527000).

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

101400004200 is a wasteful number, since it uses less digits than its factorization.

101400004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64552 (or 64543 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 101400004200 its reverse (2400004101), we get a palindrome (103800008301).

Subtracting from 101400004200 its reverse (2400004101), we obtain a palindrome (99000000099).

The spelling of 101400004200 in words is "one hundred one billion, four hundred million, four thousand, two hundred".