121011012101200 has 120 divisors (see below), whose sum is σ = 315863456054328. Its totient is φ = 44285581885440.

The previous prime is 121011012101149. The next prime is 121011012101237. The reversal of 121011012101200 is 2101210110121.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 98576541959184 + 22434470142016 = 9928572^2 + 4736504^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102382969 + ... + 103558168.

Almost surely, 2^{121011012101200} is an apocalyptic number.

121011012101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121011012101200 is an abundant number, since it is smaller than the sum of its proper divisors (194852443953128).

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

121011012101200 is a wasteful number, since it uses less digits than its factorization.

121011012101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205941281 (or 205941270 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 121011012101200 its reverse (2101210110121), we get a palindrome (123112222211321).

The spelling of 121011012101200 in words is "one hundred twenty-one trillion, eleven billion, twelve million, one hundred one thousand, two hundred".