101124201440400 has 120 divisors (see below), whose sum is σ = 340983710898720. Its totient is φ = 25547166673920.

The previous prime is 101124201440393. The next prime is 101124201440531. The reversal of 101124201440400 is 4044102421101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×101124201440400² (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2217613197 + ... + 2217658796.

It is an arithmetic number, because the mean of its divisors is an integer number (2841530924156).

Almost surely, 2^{101124201440400} is an apocalyptic number.

101124201440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101124201440400 is an abundant number, since it is smaller than the sum of its proper divisors (239859509458320).

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

101124201440400 is a wasteful number, since it uses less digits than its factorization.

101124201440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4435272033 (or 4435272022 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 101124201440400 its reverse (4044102421101), we get a palindrome (105168303861501).

The spelling of 101124201440400 in words is "one hundred one trillion, one hundred twenty-four billion, two hundred one million, four hundred forty thousand, four hundred".