101212210101120 has 256 divisors, whose sum is σ = 323628923404800. Its totient is φ = 26905087401984.

The previous prime is 101212210101077. The next prime is 101212210101139. The reversal of 101212210101120 is 21101012212101.

It is a happy number.

It is a super-2 number, since 2×101212210101120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101212210101120.

It is a congruent number.

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, 1331649039 + ... + 1331725041.

It is an arithmetic number, because the mean of its divisors is an integer number (1264175482050).

Almost surely, 2^{101212210101120} is an apocalyptic number.

101212210101120 is a gapful number since it is divisible by the number (10) 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 101212210101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161814461702400).

101212210101120 is an abundant number, since it is smaller than the sum of its proper divisors (222416713303680).

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

101212210101120 is a wasteful number, since it uses less digits than its factorization.

101212210101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78197 (or 78185 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101212210101120 its reverse (21101012212101), we get a palindrome (122313222313221).

The spelling of 101212210101120 in words is "one hundred one trillion, two hundred twelve billion, two hundred ten million, one hundred one thousand, one hundred twenty".