101121000012 has 36 divisors (see below), whose sum is σ = 255701901000. Its totient is φ = 33695068032.

The previous prime is 101120999999. The next prime is 101121000053. The reversal of 101121000012 is 210000121101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101120999958 and 101121000003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393762 + ... + 597737.

Almost surely, 2^101121000012 is an apocalyptic number.

101121000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121000012 is an abundant number, since it is smaller than the sum of its proper divisors (154580900988).

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

101121000012 is a wasteful number, since it uses less digits than its factorization.

101121000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994342 (or 994337 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101121000012 its reverse (210000121101), we get a palindrome (311121121113).

The spelling of 101121000012 in words is "one hundred one billion, one hundred twenty-one million, twelve", and thus it is an aban number.