101201211001212 has 96 divisors (see below), whose sum is σ = 285773536677888. Its totient is φ = 27211014749184.

The previous prime is 101201211001207. The next prime is 101201211001217. The reversal of 101201211001212 is 212100112102101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101201211001207) and next prime (101201211001217).

It is a super-2 number, since 2×101201211001212² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101201211001191 and 101201211001200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201211001217) 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, 10534678 + ... + 17702594.

It is an arithmetic number, because the mean of its divisors is an integer number (2976807673728).

Almost surely, 2^{101201211001212} is an apocalyptic number.

101201211001212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101201211001212 is an abundant number, since it is smaller than the sum of its proper divisors (184572325676676).

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

101201211001212 is a wasteful number, since it uses less digits than its factorization.

101201211001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7177835 (or 7177833 counting only the distinct ones).

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

Adding to 101201211001212 its reverse (212100112102101), we get a palindrome (313301323103313).

The spelling of 101201211001212 in words is "one hundred one trillion, two hundred one billion, two hundred eleven million, one thousand, two hundred twelve".