10021211222112 has 144 divisors (see below), whose sum is σ = 29740346868960. Its totient is φ = 3194793609216.

The previous prime is 10021211222101. The next prime is 10021211222129. The reversal of 10021211222112 is 21122211212001.

10021211222112 is a `hidden beast` number, since 100 + 21 + 211 + 222 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59326318 + ... + 59494994.

It is an arithmetic number, because the mean of its divisors is an integer number (206530186590).

Almost surely, 2^{10021211222112} is an apocalyptic number.

10021211222112 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 10021211222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14870173434480).

10021211222112 is an abundant number, since it is smaller than the sum of its proper divisors (19719135646848).

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

10021211222112 is a wasteful number, since it uses less digits than its factorization.

10021211222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177685 (or 177674 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10021211222112 its reverse (21122211212001), we get a palindrome (31143422434113).

The spelling of 10021211222112 in words is "ten trillion, twenty-one billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twelve".