101120001012020 has 24 divisors (see below), whose sum is σ = 212368854650568. Its totient is φ = 40444790400000.

The previous prime is 101120001012011. The next prime is 101120001012053. The reversal of 101120001012020 is 20210100021101.

It can be written as a sum of positive squares in 4 ways, for example, as 192942319504 + 100927058692516 = 439252^2 + 10046246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101120001011992 and 101120001012010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200366981 + ... + 200871020.

It is an arithmetic number, because the mean of its divisors is an integer number (8848702277107).

Almost surely, 2^{101120001012020} is an apocalyptic number.

101120001012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120001012020 is an abundant number, since it is smaller than the sum of its proper divisors (111248853638548).

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

101120001012020 is a wasteful number, since it uses less digits than its factorization.

101120001012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401250611 (or 401250609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101120001012020 its reverse (20210100021101), we get a palindrome (121330101033121).

The spelling of 101120001012020 in words is "one hundred one trillion, one hundred twenty billion, one million, twelve thousand, twenty".