10211102010020 has 96 divisors (see below), whose sum is σ = 23301936107520. Its totient is φ = 3744343221120.

The previous prime is 10211102009993. The next prime is 10211102010061. The reversal of 10211102010020 is 2001020111201.

It is a junction number, because it is equal to n+sod(n) for n = 10211102009983 and 10211102010010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185943407 + ... + 185998313.

It is an arithmetic number, because the mean of its divisors is an integer number (242728501120).

Almost surely, 2^{10211102010020} is an apocalyptic number.

10211102010020 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 10211102010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11650968053760).

10211102010020 is an abundant number, since it is smaller than the sum of its proper divisors (13090834097500).

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

10211102010020 is a wasteful number, since it uses less digits than its factorization.

10211102010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70753 (or 70751 counting only the distinct ones).

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

Adding to 10211102010020 its reverse (2001020111201), we get a palindrome (12212122121221).

The spelling of 10211102010020 in words is "ten trillion, two hundred eleven billion, one hundred two million, ten thousand, twenty".