101201110041420 has 144 divisors (see below), whose sum is σ = 316904271989760. Its totient is φ = 26114347036800.

The previous prime is 101201110041419. The next prime is 101201110041457. The reversal of 101201110041420 is 24140011102101.

101201110041420 is a `hidden beast` number, since 1 + 0 + 1 + 201 + 1 + 1 + 0 + 0 + 41 + 420 = 666.

101201110041420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101201110041393 and 101201110041402.

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, 70371775 + ... + 71795465.

It is an arithmetic number, because the mean of its divisors is an integer number (2200724111040).

Almost surely, 2^{101201110041420} is an apocalyptic number.

101201110041420 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 101201110041420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158452135994880).

101201110041420 is an abundant number, since it is smaller than the sum of its proper divisors (215703161948340).

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

101201110041420 is a wasteful number, since it uses less digits than its factorization.

101201110041420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436476 (or 1436471 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101201110041420 its reverse (24140011102101), we get a palindrome (125341121143521).

The spelling of 101201110041420 in words is "one hundred one trillion, two hundred one billion, one hundred ten million, forty-one thousand, four hundred twenty".