101012212112 has 80 divisors (see below), whose sum is σ = 233674329600. Its totient is φ = 41384179200.

The previous prime is 101012212111. The next prime is 101012212117. The reversal of 101012212112 is 211212210101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (101012212111) 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, 174089 + ... + 482007.

It is an arithmetic number, because the mean of its divisors is an integer number (2920929120).

Almost surely, 2^101012212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116837164800).

101012212112 is an abundant number, since it is smaller than the sum of its proper divisors (132662117488).

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

101012212112 is a wasteful number, since it uses less digits than its factorization.

101012212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308064 (or 308058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101012212112 its reverse (211212210101), we get a palindrome (312224422213).

The spelling of 101012212112 in words is "one hundred one billion, twelve million, two hundred twelve thousand, one hundred twelve".