101210211201020 has 72 divisors (see below), whose sum is σ = 214686186750000. Its totient is φ = 40079604083200.

The previous prime is 101210211200999. The next prime is 101210211201059. The reversal of 101210211201020 is 20102112012101.

It is a junction number, because it is equal to n+sod(n) for n = 101210211200986 and 101210211201004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3855760856 + ... + 3855787104.

It is an arithmetic number, because the mean of its divisors is an integer number (2981752593750).

Almost surely, 2^{101210211201020} is an apocalyptic number.

101210211201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210211201020 is an abundant number, since it is smaller than the sum of its proper divisors (113475975548980).

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

101210211201020 is a wasteful number, since it uses less digits than its factorization.

101210211201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45359 (or 45256 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101210211201020 its reverse (20102112012101), we get a palindrome (121312323213121).

The spelling of 101210211201020 in words is "one hundred one trillion, two hundred ten billion, two hundred eleven million, two hundred one thousand, twenty".