101013222143400 has 384 divisors, whose sum is σ = 360780908544000. Its totient is φ = 22901979110400.

The previous prime is 101013222143303. The next prime is 101013222143413. The reversal of 101013222143400 is 4341222310101.

101013222143400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 279787399 + ... + 280148201.

It is an arithmetic number, because the mean of its divisors is an integer number (939533616000).

Almost surely, 2^{101013222143400} is an apocalyptic number.

101013222143400 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 101013222143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180390454272000).

101013222143400 is an abundant number, since it is smaller than the sum of its proper divisors (259767686400600).

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

101013222143400 is a wasteful number, since it uses less digits than its factorization.

101013222143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361369 (or 361360 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 101013222143400 its reverse (4341222310101), we get a palindrome (105354444453501).

The spelling of 101013222143400 in words is "one hundred one trillion, thirteen billion, two hundred twenty-two million, one hundred forty-three thousand, four hundred".