101201120011020 has 192 divisors, whose sum is σ = 293079441715200. Its totient is φ = 26065059102720.

The previous prime is 101201120010943. The next prime is 101201120011049. The reversal of 101201120011020 is 20110021102101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101201120010987 and 101201120011005.

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, 3648582592 + ... + 3648610328.

It is an arithmetic number, because the mean of its divisors is an integer number (1526455425600).

Almost surely, 2^{101201120011020} is an apocalyptic number.

101201120011020 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 101201120011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146539720857600).

101201120011020 is an abundant number, since it is smaller than the sum of its proper divisors (191878321704180).

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

101201120011020 is a wasteful number, since it uses less digits than its factorization.

101201120011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31568 (or 31566 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101201120011020 its reverse (20110021102101), we get a palindrome (121311141113121).

The spelling of 101201120011020 in words is "one hundred one trillion, two hundred one billion, one hundred twenty million, eleven thousand, twenty".