101022121200 has 960 divisors, whose sum is σ = 446433426432. Its totient is φ = 18844876800.

The previous prime is 101022121183. The next prime is 101022121201. The reversal of 101022121200 is 2121220101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022121201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44443264 + ... + 44445536.

Almost surely, 2^101022121200 is an apocalyptic number.

101022121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101022121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223216713216).

101022121200 is an abundant number, since it is smaller than the sum of its proper divisors (345411305232).

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

101022121200 is a wasteful number, since it uses less digits than its factorization.

101022121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101022121200 its reverse (2121220101), we get a palindrome (103143341301).

It can be divided in two parts, 101022 and 121200, that added together give a palindrome (222222).

The spelling of 101022121200 in words is "one hundred one billion, twenty-two million, one hundred twenty-one thousand, two hundred".