101222001121200 has 60 divisors (see below), whose sum is σ = 324247810262088. Its totient is φ = 26992533632000.

The previous prime is 101222001121151. The next prime is 101222001121249. The reversal of 101222001121200 is 2121100222101.

It is an interprime number because it is at equal distance from previous prime (101222001121151) and next prime (101222001121249).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×101222001121200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101222001121200.

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, 42175832601 + ... + 42175835000.

Almost surely, 2^{101222001121200} is an apocalyptic number.

101222001121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222001121200 is an abundant number, since it is smaller than the sum of its proper divisors (223025809140888).

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

101222001121200 is a wasteful number, since it uses less digits than its factorization.

101222001121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84351667622 (or 84351667611 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101222001121200 its reverse (2121100222101), we get a palindrome (103343101343301).

The spelling of 101222001121200 in words is "one hundred one trillion, two hundred twenty-two billion, one million, one hundred twenty-one thousand, two hundred".