101212201212210 has 192 divisors, whose sum is σ = 289365084163584. Its totient is φ = 24340765593600.

The previous prime is 101212201212179. The next prime is 101212201212223. The reversal of 101212201212210 is 12212102212101.

101212201212210 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 220 + 1 + 212 + 210 = 666.

101212201212210 is digitally balanced in base 3 and base 6, because in such bases 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, 201430890 + ... + 201932730.

It is an arithmetic number, because the mean of its divisors is an integer number (1507109813352).

Almost surely, 2^{101212201212210} is an apocalyptic number.

101212201212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101212201212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144682542081792).

101212201212210 is an abundant number, since it is smaller than the sum of its proper divisors (188152882951374).

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

101212201212210 is a wasteful number, since it uses less digits than its factorization.

101212201212210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503489 (or 503486 counting only the distinct ones).

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

Adding to 101212201212210 its reverse (12212102212101), we get a palindrome (113424303424311).

The spelling of 101212201212210 in words is "one hundred one trillion, two hundred twelve billion, two hundred one million, two hundred twelve thousand, two hundred ten".