101141221120400 has 240 divisors, whose sum is σ = 249980191547328. Its totient is φ = 39308056320000.

The previous prime is 101141221120399. The next prime is 101141221120417. The reversal of 101141221120400 is 4021122141101.

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, 8123134175 + ... + 8123146625.

Almost surely, 2^{101141221120400} is an apocalyptic number.

101141221120400 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 101141221120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124990095773664).

101141221120400 is an abundant number, since it is smaller than the sum of its proper divisors (148838970426928).

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

101141221120400 is a wasteful number, since it uses less digits than its factorization.

101141221120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16210 (or 16199 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 101141221120400 its reverse (4021122141101), we get a palindrome (105162343261501).

The spelling of 101141221120400 in words is "one hundred one trillion, one hundred forty-one billion, two hundred twenty-one million, one hundred twenty thousand, four hundred".