101121201122020 has 24 divisors (see below), whose sum is σ = 212367607918200. Its totient is φ = 40445987960832.

The previous prime is 101121201122017. The next prime is 101121201122023. The reversal of 101121201122020 is 20221102121101.

It is an interprime number because it is at equal distance from previous prime (101121201122017) and next prime (101121201122023).

It can be written as a sum of positive squares in 4 ways, for example, as 35040527606016 + 66080673516004 = 5919504^2 + 8129002^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101121201121985 and 101121201122003.

It is not an unprimeable number, because it can be changed into a prime (101121201122023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155447805 + ... + 156096964.

It is an arithmetic number, because the mean of its divisors is an integer number (8848650329925).

Almost surely, 2^{101121201122020} is an apocalyptic number.

101121201122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121201122020 is an abundant number, since it is smaller than the sum of its proper divisors (111246406796180).

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

101121201122020 is a wasteful number, since it uses less digits than its factorization.

101121201122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311561007 (or 311561005 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101121201122020 its reverse (20221102121101), we get a palindrome (121342303243121).

The spelling of 101121201122020 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty-two thousand, twenty".