10211212202112 has 192 divisors, whose sum is σ = 29684297448000. Its totient is φ = 3368953497600.

The previous prime is 10211212202099. The next prime is 10211212202161. The reversal of 10211212202112 is 21120221211201.

10211212202112 is a `hidden beast` number, since 1 + 0 + 211 + 21 + 220 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10211212202112² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414084439 + ... + 414109097.

It is an arithmetic number, because the mean of its divisors is an integer number (154605715875).

Almost surely, 2^{10211212202112} is an apocalyptic number.

10211212202112 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 10211212202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842148724000).

10211212202112 is an abundant number, since it is smaller than the sum of its proper divisors (19473085245888).

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

10211212202112 is a wasteful number, since it uses less digits than its factorization.

10211212202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28339 (or 28324 counting only the distinct ones).

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

Adding to 10211212202112 its reverse (21120221211201), we get a palindrome (31331433413313).

The spelling of 10211212202112 in words is "ten trillion, two hundred eleven billion, two hundred twelve million, two hundred two thousand, one hundred twelve".