10202121110000 has 200 divisors, whose sum is σ = 24976367816400. Its totient is φ = 4035502080000.

The previous prime is 10202121109993. The next prime is 10202121110017. The reversal of 10202121110000 is 1112120201.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×10202121110000³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323974256 + ... + 324005744.

It is an arithmetic number, because the mean of its divisors is an integer number (124881839082).

Almost surely, 2^{10202121110000} is an apocalyptic number.

10202121110000 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 10202121110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12488183908200).

10202121110000 is an abundant number, since it is smaller than the sum of its proper divisors (14774246706400).

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

10202121110000 is a wasteful number, since it uses less digits than its factorization.

10202121110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31877 (or 31856 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10202121110000 its reverse (1112120201), we get a palindrome (10203233230201).

The spelling of 10202121110000 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred ten thousand".