101212010112220 has 144 divisors (see below), whose sum is σ = 262304737490880. Its totient is φ = 32595842205696.

The previous prime is 101212010112209. The next prime is 101212010112229. The reversal of 101212010112220 is 22211010212101.

101212010112220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101212010112220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101212010112194 and 101212010112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212010112229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2512209 + ... + 14447671.

It is an arithmetic number, because the mean of its divisors is an integer number (1821560677020).

Almost surely, 2^{101212010112220} is an apocalyptic number.

101212010112220 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 101212010112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131152368745440).

101212010112220 is an abundant number, since it is smaller than the sum of its proper divisors (161092727378660).

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

101212010112220 is a wasteful number, since it uses less digits than its factorization.

101212010112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11936012 (or 11936003 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101212010112220 its reverse (22211010212101), we get a palindrome (123423020324321).

The spelling of 101212010112220 in words is "one hundred one trillion, two hundred twelve billion, ten million, one hundred twelve thousand, two hundred twenty".