101135203400 has 384 divisors, whose sum is σ = 299536185600. Its totient is φ = 30845337600.

The previous prime is 101135203397. The next prime is 101135203423. The reversal of 101135203400 is 4302531101.

It is a super-3 number, since 3×101135203400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154877474 + ... + 154878126.

It is an arithmetic number, because the mean of its divisors is an integer number (780042150).

Almost surely, 2^101135203400 is an apocalyptic number.

101135203400 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 101135203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149768092800).

101135203400 is an abundant number, since it is smaller than the sum of its proper divisors (198400982200).

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

101135203400 is a wasteful number, since it uses less digits than its factorization.

101135203400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 101135203400 its reverse (4302531101), we get a palindrome (105437734501).

The spelling of 101135203400 in words is "one hundred one billion, one hundred thirty-five million, two hundred three thousand, four hundred".