101011120020020 has 144 divisors (see below), whose sum is σ = 248591116045440. Its totient is φ = 34374907526400.

The previous prime is 101011120019989. The next prime is 101011120020023. The reversal of 101011120020020 is 20020021110101.

It is a junction number, because it is equal to n+sod(n) for n = 101011120019983 and 101011120020010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011120020023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576259190 + ... + 576434450.

It is an arithmetic number, because the mean of its divisors is an integer number (1726327194760).

Almost surely, 2^{101011120020020} is an apocalyptic number.

101011120020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011120020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124295558022720).

101011120020020 is an abundant number, since it is smaller than the sum of its proper divisors (147579996025420).

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

101011120020020 is a wasteful number, since it uses less digits than its factorization.

101011120020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179654 (or 179645 counting only the distinct ones).

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

Adding to 101011120020020 its reverse (20020021110101), we get a palindrome (121031141130121).

The spelling of 101011120020020 in words is "one hundred one trillion, eleven billion, one hundred twenty million, twenty thousand, twenty".