10221202022112 has 96 divisors (see below), whose sum is σ = 29819650966560. Its totient is φ = 3406174571520.

The previous prime is 10221202022099. The next prime is 10221202022113. The reversal of 10221202022112 is 21122020212201.

It is a happy number.

10221202022112 is a `hidden beast` number, since 10 + 221 + 20 + 202 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (10221202022113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1753308 + ... + 4849380.

It is an arithmetic number, because the mean of its divisors is an integer number (310621364235).

Almost surely, 2^{10221202022112} is an apocalyptic number.

10221202022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221202022112 is an abundant number, since it is smaller than the sum of its proper divisors (19598448944448).

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

10221202022112 is a wasteful number, since it uses less digits than its factorization.

10221202022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099913 (or 3099899 counting only the distinct ones).

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

Adding to 10221202022112 its reverse (21122020212201), we get a palindrome (31343222234313).

The spelling of 10221202022112 in words is "ten trillion, two hundred twenty-one billion, two hundred two million, twenty-two thousand, one hundred twelve".