101011002202212 has 96 divisors (see below), whose sum is σ = 247118347929600. Its totient is φ = 32052186220032.

The previous prime is 101011002202163. The next prime is 101011002202241. The reversal of 101011002202212 is 212202200110101.

It is a junction number, because it is equal to n+sod(n) for n = 101011002202191 and 101011002202200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163150089 + ... + 163768047.

It is an arithmetic number, because the mean of its divisors is an integer number (2574149457600).

Almost surely, 2^{101011002202212} is an apocalyptic number.

101011002202212 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 101011002202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123559173964800).

101011002202212 is an abundant number, since it is smaller than the sum of its proper divisors (146107345727388).

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

101011002202212 is a wasteful number, since it uses less digits than its factorization.

101011002202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620825 (or 620823 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101011002202212 its reverse (212202200110101), we get a palindrome (313213202312313).

The spelling of 101011002202212 in words is "one hundred one trillion, eleven billion, two million, two hundred two thousand, two hundred twelve".