101211220222112 has 1152 divisors, whose sum is σ = 299724134879232. Its totient is φ = 32560722247680.

The previous prime is 101211220222103. The next prime is 101211220222169. The reversal of 101211220222112 is 211222022112101.

It is a super-2 number, since 2×101211220222112² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22456447763 + ... + 22456452269.

It is an arithmetic number, because the mean of its divisors is an integer number (260177200416).

Almost surely, 2^{101211220222112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211220222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149862067439616).

101211220222112 is an abundant number, since it is smaller than the sum of its proper divisors (198512914657120).

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

101211220222112 is a wasteful number, since it uses less digits than its factorization.

101211220222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4762 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 101211220222112 its reverse (211222022112101), we get a palindrome (312433242334213).

The spelling of 101211220222112 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty million, two hundred twenty-two thousand, one hundred twelve".