101110120201020 has 384 divisors, whose sum is σ = 333651133089792. Its totient is φ = 22403782656000.

The previous prime is 101110120201009. The next prime is 101110120201033. The reversal of 101110120201020 is 20102021011101.

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 = 101110120200987 and 101110120201005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 424123255 + ... + 424361585.

It is an arithmetic number, because the mean of its divisors is an integer number (868883159088).

Almost surely, 2^{101110120201020} is an apocalyptic number.

101110120201020 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 101110120201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166825566544896).

101110120201020 is an abundant number, since it is smaller than the sum of its proper divisors (232541012888772).

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

101110120201020 is a wasteful number, since it uses less digits than its factorization.

101110120201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238661 (or 238659 counting only the distinct ones).

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

Adding to 101110120201020 its reverse (20102021011101), we get a palindrome (121212141212121).

The spelling of 101110120201020 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty million, two hundred one thousand, twenty".