101112101220 has 288 divisors, whose sum is σ = 334379380608. Its totient is φ = 22614810624.

The previous prime is 101112101177. The next prime is 101112101267. The reversal of 101112101220 is 22101211101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101112101196 and 101112101205.

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, 11147127 + ... + 11156193.

It is an arithmetic number, because the mean of its divisors is an integer number (1161039516).

Almost surely, 2^101112101220 is an apocalyptic number.

101112101220 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 101112101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167189690304).

101112101220 is an abundant number, since it is smaller than the sum of its proper divisors (233267279388).

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

101112101220 is a wasteful number, since it uses less digits than its factorization.

101112101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9167 (or 9136 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101112101220 its reverse (22101211101), we get a palindrome (123213312321).

The spelling of 101112101220 in words is "one hundred one billion, one hundred twelve million, one hundred one thousand, two hundred twenty".