101012121212020 has 24 divisors (see below), whose sum is σ = 224603422460424. Its totient is φ = 38028092691456.

The previous prime is 101012121212017. The next prime is 101012121212029. The reversal of 101012121212020 is 20212121210101.

It can be written as a sum of positive squares in 4 ways, for example, as 35205662766096 + 65806458445924 = 5933436^2 + 8112118^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101012121211985 and 101012121212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012121212029) 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, 148547236737 + ... + 148547237416.

It is an arithmetic number, because the mean of its divisors is an integer number (9358475935851).

Almost surely, 2^{101012121212020} is an apocalyptic number.

101012121212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012121212020 is an abundant number, since it is smaller than the sum of its proper divisors (123591301248404).

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

101012121212020 is a wasteful number, since it uses less digits than its factorization.

101012121212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297094474179 (or 297094474177 counting only the distinct ones).

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

Adding to 101012121212020 its reverse (20212121210101), we get a palindrome (121224242422121).

The spelling of 101012121212020 in words is "one hundred one trillion, twelve billion, one hundred twenty-one million, two hundred twelve thousand, twenty".