101142133400 has 288 divisors, whose sum is σ = 296238539520. Its totient is φ = 31435641600.

The previous prime is 101142133387. The next prime is 101142133441. The reversal of 101142133400 is 4331241101.

It is a super-2 number, since 2×101142133400² (a number of 23 digits) contains 22 as substring.

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

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, 85207607 + ... + 85208793.

It is an arithmetic number, because the mean of its divisors is an integer number (1028606040).

Almost surely, 2^101142133400 is an apocalyptic number.

101142133400 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 101142133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148119269760).

101142133400 is an abundant number, since it is smaller than the sum of its proper divisors (195096406120).

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

101142133400 is a wasteful number, since it uses less digits than its factorization.

101142133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101142133400 its reverse (4331241101), we get a palindrome (105473374501).

The spelling of 101142133400 in words is "one hundred one billion, one hundred forty-two million, one hundred thirty-three thousand, four hundred".