101011101010212 has 96 divisors (see below), whose sum is σ = 250324475708160. Its totient is φ = 31633779386880.

The previous prime is 101011101010207. The next prime is 101011101010217. The reversal of 101011101010212 is 212010101110101.

It is an interprime number because it is at equal distance from previous prime (101011101010207) and next prime (101011101010217).

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

It is not an unprimeable number, because it can be changed into a prime (101011101010217) 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, 7705618 + ... + 16167830.

It is an arithmetic number, because the mean of its divisors is an integer number (2607546621960).

Almost surely, 2^{101011101010212} is an apocalyptic number.

101011101010212 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 101011101010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125162237854080).

101011101010212 is an abundant number, since it is smaller than the sum of its proper divisors (149313374697948).

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

101011101010212 is a wasteful number, since it uses less digits than its factorization.

101011101010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8463013 (or 8463011 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101011101010212 its reverse (212010101110101), we get a palindrome (313021202120313).

The spelling of 101011101010212 in words is "one hundred one trillion, eleven billion, one hundred one million, ten thousand, two hundred twelve".