101101211211012 has 96 divisors (see below), whose sum is σ = 253487556403200. Its totient is φ = 31248892426752.

The previous prime is 101101211210983. The next prime is 101101211211041. The reversal of 101101211211012 is 210112112101101.

It is an interprime number because it is at equal distance from previous prime (101101211210983) and next prime (101101211211041).

It is a super-3 number, since 3×101101211211012³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101101211210982 and 101101211211000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687039 + ... + 14236377.

It is an arithmetic number, because the mean of its divisors is an integer number (2640495379200).

Almost surely, 2^{101101211211012} is an apocalyptic number.

101101211211012 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 101101211211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126743778201600).

101101211211012 is an abundant number, since it is smaller than the sum of its proper divisors (152386345192188).

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

101101211211012 is a wasteful number, since it uses less digits than its factorization.

101101211211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13549905 (or 13549903 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101101211211012 its reverse (210112112101101), we get a palindrome (311213323312113).

The spelling of 101101211211012 in words is "one hundred one trillion, one hundred one billion, two hundred eleven million, two hundred eleven thousand, twelve".