10001102201020 has 96 divisors (see below), whose sum is σ = 24171638400000. Its totient is φ = 3404876580864.

The previous prime is 10001102200997. The next prime is 10001102201021. The reversal of 10001102201020 is 2010220110001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10001102200988 and 10001102201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001102201021) 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, 13542444 + ... + 14261836.

It is an arithmetic number, because the mean of its divisors is an integer number (251787900000).

Almost surely, 2^{10001102201020} is an apocalyptic number.

10001102201020 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 10001102201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12085819200000).

10001102201020 is an abundant number, since it is smaller than the sum of its proper divisors (14170536198980).

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

10001102201020 is a wasteful number, since it uses less digits than its factorization.

10001102201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720107 (or 720105 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10001102201020 its reverse (2010220110001), we get a palindrome (12011322311021).

The spelling of 10001102201020 in words is "ten trillion, one billion, one hundred two million, two hundred one thousand, twenty".