101120022202212 has 288 divisors, whose sum is σ = 294655491486720. Its totient is φ = 28994723112960.

The previous prime is 101120022202181. The next prime is 101120022202259. The reversal of 101120022202212 is 212202220021101.

It is a happy number.

101120022202212 is a `hidden beast` number, since 10 + 11 + 200 + 2 + 220 + 221 + 2 = 666.

101120022202212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 317152618 + ... + 317471294.

It is an arithmetic number, because the mean of its divisors is an integer number (1023109345440).

Almost surely, 2^{101120022202212} is an apocalyptic number.

101120022202212 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 101120022202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147327745743360).

101120022202212 is an abundant number, since it is smaller than the sum of its proper divisors (193535469284508).

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

101120022202212 is a wasteful number, since it uses less digits than its factorization.

101120022202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319483 (or 319478 counting only the distinct ones).

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

Adding to 101120022202212 its reverse (212202220021101), we get a palindrome (313322242223313).

The spelling of 101120022202212 in words is "one hundred one trillion, one hundred twenty billion, twenty-two million, two hundred two thousand, two hundred twelve".