101022000012020 has 12 divisors (see below), whose sum is σ = 212146200025284. Its totient is φ = 40408800004800.

The previous prime is 101022000012019. The next prime is 101022000012023. The reversal of 101022000012020 is 20210000220101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 54098349204964 + 46923650807056 = 7355158^2 + 6850084^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101022000011992 and 101022000012010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022000012023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2525550000281 + ... + 2525550000320.

It is an arithmetic number, because the mean of its divisors is an integer number (17678850002107).

Almost surely, 2^{101022000012020} is an apocalyptic number.

101022000012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022000012020 is an abundant number, since it is smaller than the sum of its proper divisors (111124200013264).

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

101022000012020 is a wasteful number, since it uses less digits than its factorization.

101022000012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051100000610 (or 5051100000608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101022000012020 its reverse (20210000220101), we get a palindrome (121232000232121).

The spelling of 101022000012020 in words is "one hundred one trillion, twenty-two billion, twelve thousand, twenty".