101020130110020 has 192 divisors, whose sum is σ = 311928201510912. Its totient is φ = 24223721280000.

The previous prime is 101020130110001. The next prime is 101020130110033. The reversal of 101020130110020 is 20011031020101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101020130109978 and 101020130110005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67991517 + ... + 69461403.

It is an arithmetic number, because the mean of its divisors is an integer number (1624626049536).

Almost surely, 2^{101020130110020} is an apocalyptic number.

101020130110020 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 101020130110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155964100755456).

101020130110020 is an abundant number, since it is smaller than the sum of its proper divisors (210908071400892).

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

101020130110020 is a wasteful number, since it uses less digits than its factorization.

101020130110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471042 (or 1471040 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101020130110020 its reverse (20011031020101), we get a palindrome (121031161130121).

The spelling of 101020130110020 in words is "one hundred one trillion, twenty billion, one hundred thirty million, one hundred ten thousand, twenty".