101145432143400 has 192 divisors, whose sum is σ = 322122621374400. Its totient is φ = 26235198812160.

The previous prime is 101145432143381. The next prime is 101145432143407. The reversal of 101145432143400 is 4341234541101.

It is not an unprimeable number, because it can be changed into a prime (101145432143407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72860991 + ... + 74236209.

It is an arithmetic number, because the mean of its divisors is an integer number (1677721986325).

Almost surely, 2^{101145432143400} is an apocalyptic number.

101145432143400 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 101145432143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161061310687200).

101145432143400 is an abundant number, since it is smaller than the sum of its proper divisors (220977189231000).

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

101145432143400 is a wasteful number, since it uses less digits than its factorization.

101145432143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378588 (or 1378579 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 101145432143400 its reverse (4341234541101), we get a palindrome (105486666684501).

The spelling of 101145432143400 in words is "one hundred one trillion, one hundred forty-five billion, four hundred thirty-two million, one hundred forty-three thousand, four hundred".