1021001020112 has 160 divisors (see below), whose sum is σ = 2200037760000. Its totient is φ = 456803794944.

The previous prime is 1021001020111. The next prime is 1021001020241. The reversal of 1021001020112 is 2110201001201.

It is a junction number, because it is equal to n+sod(n) for n = 1021001020093 and 1021001020102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021001020111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510754889 + ... + 510756887.

It is an arithmetic number, because the mean of its divisors is an integer number (13750236000).

Almost surely, 2^{1021001020112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021001020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100018880000).

1021001020112 is an abundant number, since it is smaller than the sum of its proper divisors (1179036739888).

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

1021001020112 is a wasteful number, since it uses less digits than its factorization.

1021001020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3007 counting only the distinct ones).

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

Adding to 1021001020112 its reverse (2110201001201), we get a palindrome (3131202021313).

The spelling of 1021001020112 in words is "one trillion, twenty-one billion, one million, twenty thousand, one hundred twelve".