101440201300400 has 120 divisors (see below), whose sum is σ = 254311745625600. Its totient is φ = 38811052811520.

The previous prime is 101440201300381. The next prime is 101440201300411. The reversal of 101440201300400 is 4003102044101.

It is a super-2 number, since 2×101440201300400² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562020569 + ... + 562201031.

It is an arithmetic number, because the mean of its divisors is an integer number (2119264546880).

Almost surely, 2^{101440201300400} is an apocalyptic number.

101440201300400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101440201300400 is an abundant number, since it is smaller than the sum of its proper divisors (152871544325200).

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

101440201300400 is a wasteful number, since it uses less digits than its factorization.

101440201300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241603 (or 241592 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101440201300400 its reverse (4003102044101), we get a palindrome (105443303344501).

The spelling of 101440201300400 in words is "one hundred one trillion, four hundred forty billion, two hundred one million, three hundred thousand, four hundred".