101121212100012 has 24 divisors (see below), whose sum is σ = 254099456046576. Its totient is φ = 31114219107648.

The previous prime is 101121212099993. The next prime is 101121212100211. The reversal of 101121212100012 is 210001212121101.

It is a happy number.

It is a super-2 number, since 2×101121212100012² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101121212099964 and 101121212100000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324106448883 + ... + 324106449194.

It is an arithmetic number, because the mean of its divisors is an integer number (10587477335274).

Almost surely, 2^{101121212100012} is an apocalyptic number.

101121212100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121212100012 is an abundant number, since it is smaller than the sum of its proper divisors (152978243946564).

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

101121212100012 is a wasteful number, since it uses less digits than its factorization.

101121212100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648212898097 (or 648212898095 counting only the distinct ones).

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

Adding to 101121212100012 its reverse (210001212121101), we get a palindrome (311122424221113).

The spelling of 101121212100012 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twelve million, one hundred thousand, twelve".