1020012101020 has 192 divisors, whose sum is σ = 2418949370880. Its totient is φ = 358110771200.

The previous prime is 1020012100973. The next prime is 1020012101027. The reversal of 1020012101020 is 201012100201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1020012100988 and 1020012101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020012101027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 669737979 + ... + 669739501.

It is an arithmetic number, because the mean of its divisors is an integer number (12598694640).

Almost surely, 2^{1020012101020} is an apocalyptic number.

1020012101020 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 1020012101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209474685440).

1020012101020 is an abundant number, since it is smaller than the sum of its proper divisors (1398937269860).

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

1020012101020 is a wasteful number, since it uses less digits than its factorization.

1020012101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020012101020 its reverse (201012100201), we get a palindrome (1221024201221).

The spelling of 1020012101020 in words is "one trillion, twenty billion, twelve million, one hundred one thousand, twenty".