101011220112 has 480 divisors, whose sum is σ = 307191338496. Its totient is φ = 28539371520.

The previous prime is 101011220087. The next prime is 101011220137. The reversal of 101011220112 is 211022110101.

It is an interprime number because it is at equal distance from previous prime (101011220087) and next prime (101011220137).

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

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, 737308108 + ... + 737308244.

Almost surely, 2^101011220112 is an apocalyptic number.

101011220112 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 101011220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153595669248).

101011220112 is an abundant number, since it is smaller than the sum of its proper divisors (206180118384).

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

101011220112 is a wasteful number, since it uses less digits than its factorization.

101011220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

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

Adding to 101011220112 its reverse (211022110101), we get a palindrome (312033330213).

It can be divided in two parts, 101011 and 220112, that added together give a palindrome (321123).

The spelling of 101011220112 in words is "one hundred one billion, eleven million, two hundred twenty thousand, one hundred twelve".