101012112010212 has 96 divisors (see below), whose sum is σ = 256416777507072. Its totient is φ = 30763626356736.

The previous prime is 101012112010211. The next prime is 101012112010217. The reversal of 101012112010212 is 212010211210101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101012112010191 and 101012112010200.

It is not an unprimeable number, because it can be changed into a prime (101012112010211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30850768 + ... + 33967544.

It is an arithmetic number, because the mean of its divisors is an integer number (2671008099032).

Almost surely, 2^{101012112010212} is an apocalyptic number.

101012112010212 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 101012112010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128208388753536).

101012112010212 is an abundant number, since it is smaller than the sum of its proper divisors (155404665496860).

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

101012112010212 is a wasteful number, since it uses less digits than its factorization.

101012112010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118917 (or 3118915 counting only the distinct ones).

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

Adding to 101012112010212 its reverse (212010211210101), we get a palindrome (313022323220313).

The spelling of 101012112010212 in words is "one hundred one trillion, twelve billion, one hundred twelve million, ten thousand, two hundred twelve".