10202122110000 has 1200 divisors, whose sum is σ = 36854139925152. Its totient is φ = 2420121600000.

The previous prime is 10202122109887. The next prime is 10202122110001. The reversal of 10202122110000 is 1122120201.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is not an unprimeable number, because it can be changed into a prime (10202122110001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 101011109950 + ... + 101011110050.

Almost surely, 2^{10202122110000} is an apocalyptic number.

10202122110000 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 10202122110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18427069962576).

10202122110000 is an abundant number, since it is smaller than the sum of its proper divisors (26652017815152).

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

10202122110000 is a wasteful number, since it uses less digits than its factorization.

10202122110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10202122110000 its reverse (1122120201), we get a palindrome (10203244230201).

The spelling of 10202122110000 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one hundred ten thousand".