10210120103100 has 144 divisors (see below), whose sum is σ = 29726193283808. Its totient is φ = 2705686364160.

The previous prime is 10210120103089. The next prime is 10210120103101. The reversal of 10210120103100 is 130102101201.

10210120103100 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 2×10210120103100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210120103101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54158202 + ... + 54346398.

Almost surely, 2^{10210120103100} is an apocalyptic number.

10210120103100 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 10210120103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14863096641904).

10210120103100 is an abundant number, since it is smaller than the sum of its proper divisors (19516073180708).

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

10210120103100 is a wasteful number, since it uses less digits than its factorization.

10210120103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189344 (or 189337 counting only the distinct ones).

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

Adding to 10210120103100 its reverse (130102101201), we get a palindrome (10340222204301).

The spelling of 10210120103100 in words is "ten trillion, two hundred ten billion, one hundred twenty million, one hundred three thousand, one hundred".