101102212002012 has 48 divisors (see below), whose sum is σ = 257843528836992. Its totient is φ = 30644068847040.

The previous prime is 101102212001969. The next prime is 101102212002017. The reversal of 101102212002012 is 210200212201101.

It is a junction number, because it is equal to n+sod(n) for n = 101102212001982 and 101102212002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102212002017) 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, 4836490314 + ... + 4836511217.

It is an arithmetic number, because the mean of its divisors is an integer number (5371740184104).

Almost surely, 2^{101102212002012} is an apocalyptic number.

101102212002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101102212002012 is an abundant number, since it is smaller than the sum of its proper divisors (156741316834980).

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

101102212002012 is a wasteful number, since it uses less digits than its factorization.

101102212002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9673001618 (or 9673001616 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101102212002012 its reverse (210200212201101), we get a palindrome (311302424203113).

The spelling of 101102212002012 in words is "one hundred one trillion, one hundred two billion, two hundred twelve million, two thousand, twelve".