10221202122012 has 384 divisors, whose sum is σ = 31340345057280. Its totient is φ = 2820105953280.

The previous prime is 10221202121969. The next prime is 10221202122013. The reversal of 10221202122012 is 21022120212201.

It is a happy number.

10221202122012 is a `hidden beast` number, since 10 + 221 + 20 + 212 + 201 + 2 = 666.

It is a super-2 number, since 2×10221202122012² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221202122013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3492038893 + ... + 3492041819.

It is an arithmetic number, because the mean of its divisors is an integer number (81615481920).

Almost surely, 2^{10221202122012} is an apocalyptic number.

10221202122012 is a gapful number since it is divisible by the number (12) 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 10221202122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15670172528640).

10221202122012 is an abundant number, since it is smaller than the sum of its proper divisors (21119142935268).

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

10221202122012 is a wasteful number, since it uses less digits than its factorization.

10221202122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10221202122012 its reverse (21022120212201), we get a palindrome (31243322334213).

It can be divided in two parts, 1022120212201 and 2, that multiplied together give a palindrome (2044240424402).

The spelling of 10221202122012 in words is "ten trillion, two hundred twenty-one billion, two hundred two million, one hundred twenty-two thousand, twelve".