121001100012 has 72 divisors (see below), whose sum is σ = 346728323760. Its totient is φ = 35271573120.

The previous prime is 121001100001. The next prime is 121001100049. The reversal of 121001100012 is 210001100121.

It is a happy number.

It is a super-2 number, since 2×121001100012² (a number of 23 digits) contains 22 as substring.

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 = 121001099967 and 121001100003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6795039 + ... + 6812822.

Almost surely, 2^121001100012 is an apocalyptic number.

121001100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121001100012 is an abundant number, since it is smaller than the sum of its proper divisors (225727223748).

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

121001100012 is a wasteful number, since it uses less digits than its factorization.

121001100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13607903 (or 13607898 counting only the distinct ones).

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

Adding to 121001100012 its reverse (210001100121), we get a palindrome (331002200133).

The spelling of 121001100012 in words is "one hundred twenty-one billion, one million, one hundred thousand, twelve".