10201121020020 has 96 divisors (see below), whose sum is σ = 32843854891008. Its totient is φ = 2317379974272.

The previous prime is 10201121020003. The next prime is 10201121020063. The reversal of 10201121020020 is 2002012110201.

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 = 10201121019978 and 10201121020005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74435784 + ... + 74572703.

It is an arithmetic number, because the mean of its divisors is an integer number (342123488448).

Almost surely, 2^{10201121020020} is an apocalyptic number.

10201121020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201121020020 is an abundant number, since it is smaller than the sum of its proper divisors (22642733870988).

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

10201121020020 is a wasteful number, since it uses less digits than its factorization.

10201121020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149008669 (or 149008667 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10201121020020 its reverse (2002012110201), we get a palindrome (12203133130221).

The spelling of 10201121020020 in words is "ten trillion, two hundred one billion, one hundred twenty-one million, twenty thousand, twenty".