10202122002100 has 144 divisors (see below), whose sum is σ = 25345993502592. Its totient is φ = 3491691517440.

The previous prime is 10202122002091. The next prime is 10202122002161. The reversal of 10202122002100 is 120022120201.

It is a happy number.

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, 1364463562 + ... + 1364471038.

It is an arithmetic number, because the mean of its divisors is an integer number (176013843768).

Almost surely, 2^{10202122002100} is an apocalyptic number.

10202122002100 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 10202122002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672996751296).

10202122002100 is an abundant number, since it is smaller than the sum of its proper divisors (15143871500492).

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

10202122002100 is a wasteful number, since it uses less digits than its factorization.

10202122002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10682 (or 10675 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10202122002100 its reverse (120022120201), we get a palindrome (10322144122301).

The spelling of 10202122002100 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, two thousand, one hundred".