10101122121200 has 120 divisors (see below), whose sum is σ = 26747053026960. Its totient is φ = 3635267788800.

The previous prime is 10101122121193. The next prime is 10101122121217. The reversal of 10101122121200 is 212122110101.

It is a super-4 number, since 4×10101122121200⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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, 11406755 + ... + 12260354.

It is an arithmetic number, because the mean of its divisors is an integer number (222892108558).

Almost surely, 2^{10101122121200} is an apocalyptic number.

10101122121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101122121200 is an abundant number, since it is smaller than the sum of its proper divisors (16645930905760).

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

10101122121200 is a wasteful number, since it uses less digits than its factorization.

10101122121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23667235 (or 23667224 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10101122121200 its reverse (212122110101), we get a palindrome (10313244231301).

The spelling of 10101122121200 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred".