10220201311212 has 72 divisors (see below), whose sum is σ = 26330521207536. Its totient is φ = 3341353302144.

The previous prime is 10220201311171. The next prime is 10220201311217. The reversal of 10220201311212 is 21211310202201.

10220201311212 is a `hidden beast` number, since 1 + 0 + 220 + 201 + 31 + 1 + 212 = 666.

It is a super-3 number, since 3×10220201311212³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10220201311217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4912723 + ... + 6676469.

It is an arithmetic number, because the mean of its divisors is an integer number (365701683438).

Almost surely, 2^{10220201311212} is an apocalyptic number.

10220201311212 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 10220201311212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13165260603768).

10220201311212 is an abundant number, since it is smaller than the sum of its proper divisors (16110319896324).

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

10220201311212 is a wasteful number, since it uses less digits than its factorization.

10220201311212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766847 (or 1766842 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10220201311212 its reverse (21211310202201), we get a palindrome (31431511513413).

The spelling of 10220201311212 in words is "ten trillion, two hundred twenty billion, two hundred one million, three hundred eleven thousand, two hundred twelve".