10102201122100 has 144 divisors (see below), whose sum is σ = 23263181061120. Its totient is φ = 3797104521600.

The previous prime is 10102201122071. The next prime is 10102201122149. The reversal of 10102201122100 is 122110220101.

It is a super-2 number, since 2×10102201122100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569225427 + ... + 569243173.

It is an arithmetic number, because the mean of its divisors is an integer number (161549868480).

Almost surely, 2^{10102201122100} is an apocalyptic number.

10102201122100 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 10102201122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11631590530560).

10102201122100 is an abundant number, since it is smaller than the sum of its proper divisors (13160979939020).

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

10102201122100 is a wasteful number, since it uses less digits than its factorization.

10102201122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20198 (or 20191 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10102201122100 its reverse (122110220101), we get a palindrome (10224311342201).

The spelling of 10102201122100 in words is "ten trillion, one hundred two billion, two hundred one million, one hundred twenty-two thousand, one hundred".