101102203400 has 576 divisors, whose sum is σ = 289256486400. Its totient is φ = 32693760000.

The previous prime is 101102203399. The next prime is 101102203409. The reversal of 101102203400 is 4302201101.

It is not an unprimeable number, because it can be changed into a prime (101102203409) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 584405714 + ... + 584405886.

It is an arithmetic number, because the mean of its divisors is an integer number (502181400).

Almost surely, 2^101102203400 is an apocalyptic number.

101102203400 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 101102203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144628243200).

101102203400 is an abundant number, since it is smaller than the sum of its proper divisors (188154283000).

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

101102203400 is a wasteful number, since it uses less digits than its factorization.

101102203400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 101102203400 its reverse (4302201101), we get a palindrome (105404404501).

The spelling of 101102203400 in words is "one hundred one billion, one hundred two million, two hundred three thousand, four hundred".