101411302100020 has 192 divisors, whose sum is σ = 240290331805440. Its totient is φ = 35637129216000.

The previous prime is 101411302099979. The next prime is 101411302100071. The reversal of 101411302100020 is 20001203114101.

It is a junction number, because it is equal to n+sod(n) for n = 101411302099967 and 101411302100003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227065291 + ... + 227511469.

It is an arithmetic number, because the mean of its divisors is an integer number (1251512144820).

Almost surely, 2^{101411302100020} is an apocalyptic number.

101411302100020 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 101411302100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120145165902720).

101411302100020 is an abundant number, since it is smaller than the sum of its proper divisors (138879029705420).

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

101411302100020 is a wasteful number, since it uses less digits than its factorization.

101411302100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446546 (or 446544 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101411302100020 its reverse (20001203114101), we get a palindrome (121412505214121).

The spelling of 101411302100020 in words is "one hundred one trillion, four hundred eleven billion, three hundred two million, one hundred thousand, twenty".