101201010201020 has 192 divisors, whose sum is σ = 231708050703360. Its totient is φ = 36978727661568.

The previous prime is 101201010201019. The next prime is 101201010201043. The reversal of 101201010201020 is 20102010102101.

It is a junction number, because it is equal to n+sod(n) for n = 101201010200992 and 101201010201010.

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, 13567634051 + ... + 13567641509.

It is an arithmetic number, because the mean of its divisors is an integer number (1206812764080).

Almost surely, 2^{101201010201020} is an apocalyptic number.

101201010201020 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 101201010201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115854025351680).

101201010201020 is an abundant number, since it is smaller than the sum of its proper divisors (130507040502340).

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

101201010201020 is a wasteful number, since it uses less digits than its factorization.

101201010201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13252 (or 13250 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101201010201020 its reverse (20102010102101), we get a palindrome (121303020303121).

The spelling of 101201010201020 in words is "one hundred one trillion, two hundred one billion, ten million, two hundred one thousand, twenty".