101012011220112 has 80 divisors (see below), whose sum is σ = 261381116252160. Its totient is φ = 33614750123136.

The previous prime is 101012011220083. The next prime is 101012011220117. The reversal of 101012011220112 is 211022110210101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101012011220091 and 101012011220100.

It is not an unprimeable number, because it can be changed into a prime (101012011220117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791671873 + ... + 791799455.

It is an arithmetic number, because the mean of its divisors is an integer number (3267263953152).

Almost surely, 2^{101012011220112} is an apocalyptic number.

101012011220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101012011220112 is an abundant number, since it is smaller than the sum of its proper divisors (160369105032048).

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

101012011220112 is a wasteful number, since it uses less digits than its factorization.

101012011220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154860 (or 154854 counting only the distinct ones).

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

Adding to 101012011220112 its reverse (211022110210101), we get a palindrome (312034121430213).

The spelling of 101012011220112 in words is "one hundred one trillion, twelve billion, eleven million, two hundred twenty thousand, one hundred twelve".