1010020112100 has 180 divisors, whose sum is σ = 3304687955184. Its totient is φ = 266821283520.

The previous prime is 1010020112089. The next prime is 1010020112113. The reversal of 1010020112100 is 12110200101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 59 ways as a sum of consecutive naturals, for example, 284019 + ... + 1449381.

Almost surely, 2^{1010020112100} is an apocalyptic number.

1010020112100 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 1010020112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652343977592).

1010020112100 is an abundant number, since it is smaller than the sum of its proper divisors (2294667843084).

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

1010020112100 is a wasteful number, since it uses less digits than its factorization.

1010020112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165496 (or 1165480 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010020112100 its reverse (12110200101), we get a palindrome (1022130312201).

The spelling of 1010020112100 in words is "one trillion, ten billion, twenty million, one hundred twelve thousand, one hundred".