101011102211020 has 24 divisors (see below), whose sum is σ = 223287699625200. Its totient is φ = 38277891364032.

The previous prime is 101011102210933. The next prime is 101011102211023. The reversal of 101011102211020 is 20112201110101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101011102211023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132909344635 + ... + 132909345394.

It is an arithmetic number, because the mean of its divisors is an integer number (9303654151050).

Almost surely, 2^{101011102211020} is an apocalyptic number.

101011102211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011102211020 is an abundant number, since it is smaller than the sum of its proper divisors (122276597414180).

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

101011102211020 is a wasteful number, since it uses less digits than its factorization.

101011102211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265818690057 (or 265818690055 counting only the distinct ones).

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

Adding to 101011102211020 its reverse (20112201110101), we get a palindrome (121123303321121).

The spelling of 101011102211020 in words is "one hundred one trillion, eleven billion, one hundred two million, two hundred eleven thousand, twenty".