10102201101020 has 96 divisors (see below), whose sum is σ = 24493418966016. Its totient is φ = 3428198784000.

The previous prime is 10102201101019. The next prime is 10102201101023. The reversal of 10102201101020 is 2010110220101.

It is a junction number, because it is equal to n+sod(n) for n = 10102201100992 and 10102201101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102201101023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27663620 + ... + 28026420.

It is an arithmetic number, because the mean of its divisors is an integer number (255139780896).

Almost surely, 2^{10102201101020} is an apocalyptic number.

10102201101020 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 10102201101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12246709483008).

10102201101020 is an abundant number, since it is smaller than the sum of its proper divisors (14391217864996).

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

10102201101020 is a wasteful number, since it uses less digits than its factorization.

10102201101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364851 (or 364849 counting only the distinct ones).

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

Adding to 10102201101020 its reverse (2010110220101), we get a palindrome (12112311321121).

The spelling of 10102201101020 in words is "ten trillion, one hundred two billion, two hundred one million, one hundred one thousand, twenty".