10210102113100 has 72 divisors (see below), whose sum is σ = 22453940633600. Its totient is φ = 4029187406400.

The previous prime is 10210102113089. The next prime is 10210102113109. The reversal of 10210102113100 is 131120101201.

It is a happy number.

It is a super-2 number, since 2×10210102113100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10210102113109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9598855 + ... + 10609345.

Almost surely, 2^{10210102113100} is an apocalyptic number.

10210102113100 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 10210102113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11226970316800).

10210102113100 is an abundant number, since it is smaller than the sum of its proper divisors (12243838520500).

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

10210102113100 is a wasteful number, since it uses less digits than its factorization.

10210102113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011863 (or 1011856 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10210102113100 its reverse (131120101201), we get a palindrome (10341222214301).

The spelling of 10210102113100 in words is "ten trillion, two hundred ten billion, one hundred two million, one hundred thirteen thousand, one hundred".