101001402224120 has 128 divisors (see below), whose sum is σ = 241365564115200. Its totient is φ = 37906532352000.

The previous prime is 101001402224029. The next prime is 101001402224213. The reversal of 101001402224120 is 21422204100101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101001402224092 and 101001402224101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381164636 + ... + 381429524.

It is an arithmetic number, because the mean of its divisors is an integer number (1885668469650).

Almost surely, 2^{101001402224120} is an apocalyptic number.

101001402224120 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 101001402224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120682782057600).

101001402224120 is an abundant number, since it is smaller than the sum of its proper divisors (140364161891080).

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

101001402224120 is a wasteful number, since it uses less digits than its factorization.

101001402224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266649 (or 266645 counting only the distinct ones).

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

Adding to 101001402224120 its reverse (21422204100101), we get a palindrome (122423606324221).

The spelling of 101001402224120 in words is "one hundred one trillion, one billion, four hundred two million, two hundred twenty-four thousand, one hundred twenty".