1020112323100 has 72 divisors (see below), whose sum is σ = 2487572972640. Its totient is φ = 360280462080.

The previous prime is 1020112323079. The next prime is 1020112323101. The reversal of 1020112323100 is 13232110201.

1020112323100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020112323100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020112323101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17028835 + ... + 17088634.

It is an arithmetic number, because the mean of its divisors is an integer number (34549624620).

Almost surely, 2^{1020112323100} is an apocalyptic number.

1020112323100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020112323100 is an abundant number, since it is smaller than the sum of its proper divisors (1467460649540).

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

1020112323100 is a wasteful number, since it uses less digits than its factorization.

1020112323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34117519 (or 34117512 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1020112323100 its reverse (13232110201), we get a palindrome (1033344433301).

The spelling of 1020112323100 in words is "one trillion, twenty billion, one hundred twelve million, three hundred twenty-three thousand, one hundred".