10202211212000 has 192 divisors, whose sum is σ = 25377963811200. Its totient is φ = 4030472908800.

The previous prime is 10202211211847. The next prime is 10202211212047. The reversal of 10202211212000 is 21211220201.

It is a super-2 number, since 2×10202211212000² (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 31 ways as a sum of consecutive naturals, for example, 136430621 + ... + 136505379.

It is an arithmetic number, because the mean of its divisors is an integer number (132176894850).

Almost surely, 2^{10202211212000} is an apocalyptic number.

10202211212000 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 10202211212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12688981905600).

10202211212000 is an abundant number, since it is smaller than the sum of its proper divisors (15175752599200).

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

10202211212000 is a wasteful number, since it uses less digits than its factorization.

10202211212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75206 (or 75188 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10202211212000 its reverse (21211220201), we get a palindrome (10223422432201).

The spelling of 10202211212000 in words is "ten trillion, two hundred two billion, two hundred eleven million, two hundred twelve thousand".