101212122110022 has 384 divisors, whose sum is σ = 300225765703680. Its totient is φ = 24547599659520.

The previous prime is 101212122109991. The next prime is 101212122110081. The reversal of 101212122110022 is 220011221212101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101212122109977 and 101212122110004.

It is a congruent number.

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, 152279473 + ... + 152942675.

It is an arithmetic number, because the mean of its divisors is an integer number (781837931520).

Almost surely, 2^{101212122110022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101212122110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150112882851840).

101212122110022 is an abundant number, since it is smaller than the sum of its proper divisors (199013643593658).

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

101212122110022 is a wasteful number, since it uses less digits than its factorization.

101212122110022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663393 (or 663370 counting only the distinct ones).

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

Adding to 101212122110022 its reverse (220011221212101), we get a palindrome (321223343322123).

The spelling of 101212122110022 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty-two million, one hundred ten thousand, twenty-two".