101124230420400 has 480 divisors, whose sum is σ = 362126959891200. Its totient is φ = 23908804608000.

The previous prime is 101124230420371. The next prime is 101124230420467. The reversal of 101124230420400 is 4024032421101.

It is a super-2 number, since 2×101124230420400² (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 95 ways as a sum of consecutive naturals, for example, 1650088159 + ... + 1650149441.

It is an arithmetic number, because the mean of its divisors is an integer number (754431166440).

Almost surely, 2^{101124230420400} is an apocalyptic number.

101124230420400 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 101124230420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181063479945600).

101124230420400 is an abundant number, since it is smaller than the sum of its proper divisors (261002729470800).

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

101124230420400 is a wasteful number, since it uses less digits than its factorization.

101124230420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64405 (or 64394 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101124230420400 its reverse (4024032421101), we get a palindrome (105148262841501).

The spelling of 101124230420400 in words is "one hundred one trillion, one hundred twenty-four billion, two hundred thirty million, four hundred twenty thousand, four hundred".