10211011211020 has 48 divisors (see below), whose sum is σ = 22164629372928. Its totient is φ = 3947329471680.

The previous prime is 10211011210999. The next prime is 10211011211099. The reversal of 10211011211020 is 2011211011201.

It is a happy number.

10211011211020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10211011211020² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10622364 + ... + 11543683.

It is an arithmetic number, because the mean of its divisors is an integer number (461763111936).

Almost surely, 2^{10211011211020} is an apocalyptic number.

10211011211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211011211020 is an abundant number, since it is smaller than the sum of its proper divisors (11953618161908).

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

10211011211020 is a wasteful number, since it uses less digits than its factorization.

10211011211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22166830 (or 22166828 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10211011211020 its reverse (2011211011201), we get a palindrome (12222222222221).

The spelling of 10211011211020 in words is "ten trillion, two hundred eleven billion, eleven million, two hundred eleven thousand, twenty".