10202211200000 has 264 divisors, whose sum is σ = 26599958056224. Its totient is φ = 3903426560000.

The previous prime is 10202211199987. The next prime is 10202211200063. The reversal of 10202211200000 is 211220201.

It is a happy number.

It is a super-2 number, since 2×10202211200000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73530692 + ... + 73669308.

Almost surely, 2^{10202211200000} is an apocalyptic number.

10202211200000 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 10202211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13299979028112).

10202211200000 is an abundant number, since it is smaller than the sum of its proper divisors (16397746856224).

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

10202211200000 is an frugal number, since it uses more digits than its factorization.

10202211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138685 (or 138647 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10202211200000 its reverse (211220201), we get a palindrome (10202422420201).

The spelling of 10202211200000 in words is "ten trillion, two hundred two billion, two hundred eleven million, two hundred thousand".