101021101200 has 180 divisors, whose sum is σ = 361880433408. Its totient is φ = 26069932800.

The previous prime is 101021101151. The next prime is 101021101229. The reversal of 101021101200 is 2101120101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 35 ways as a sum of consecutive naturals, for example, 341004 + ... + 564203.

Almost surely, 2^101021101200 is an apocalyptic number.

101021101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021101200 is an abundant number, since it is smaller than the sum of its proper divisors (260859332208).

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

101021101200 is a wasteful number, since it uses less digits than its factorization.

101021101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905262 (or 905248 counting only the distinct ones).

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

Adding to 101021101200 its reverse (2101120101), we get a palindrome (103122221301).

The spelling of 101021101200 in words is "one hundred one billion, twenty-one million, one hundred one thousand, two hundred".