10120102010100 has 216 divisors, whose sum is σ = 33645314582880. Its totient is φ = 2537140320000.

The previous prime is 10120102010069. The next prime is 10120102010147. The reversal of 10120102010100 is 101020102101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18751 + ... + 4498950.

Almost surely, 2^{10120102010100} is an apocalyptic number.

10120102010100 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 10120102010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16822657291440).

10120102010100 is an abundant number, since it is smaller than the sum of its proper divisors (23525212572780).

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

10120102010100 is a wasteful number, since it uses less digits than its factorization.

10120102010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517871 (or 4517861 counting only the distinct ones).

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

Adding to 10120102010100 its reverse (101020102101), we get a palindrome (10221122112201).

The spelling of 10120102010100 in words is "ten trillion, one hundred twenty billion, one hundred two million, ten thousand, one hundred".