101120124004400 has 240 divisors, whose sum is σ = 251866634024544. Its totient is φ = 38989112279040.

The previous prime is 101120124004399. The next prime is 101120124004469. The reversal of 101120124004400 is 4400421021101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588859352 + ... + 589031048.

Almost surely, 2^{101120124004400} is an apocalyptic number.

101120124004400 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 101120124004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125933317012272).

101120124004400 is an abundant number, since it is smaller than the sum of its proper divisors (150746510020144).

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

101120124004400 is a wasteful number, since it uses less digits than its factorization.

101120124004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172208 (or 172197 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101120124004400 its reverse (4400421021101), we get a palindrome (105520545025501).

The spelling of 101120124004400 in words is "one hundred one trillion, one hundred twenty billion, one hundred twenty-four million, four thousand, four hundred".