1011020112102 has 256 divisors, whose sum is σ = 2759420805120. Its totient is φ = 238450867200.

The previous prime is 1011020111873. The next prime is 1011020112197. The reversal of 1011020112102 is 2012110201101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133323403 + ... + 133330985.

It is an arithmetic number, because the mean of its divisors is an integer number (10778987520).

Almost surely, 2^{1011020112102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011020112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379710402560).

1011020112102 is an abundant number, since it is smaller than the sum of its proper divisors (1748400693018).

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

1011020112102 is a wasteful number, since it uses less digits than its factorization.

1011020112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7979.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011020112102 its reverse (2012110201101), we get a palindrome (3023130313203).

The spelling of 1011020112102 in words is "one trillion, eleven billion, twenty million, one hundred twelve thousand, one hundred two".