101001120211000 has 32 divisors (see below), whose sum is σ = 236342621296080. Its totient is φ = 40400448084000.

The previous prime is 101001120210953. The next prime is 101001120211007. The reversal of 101001120211000 is 112021100101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001120211007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50500559106 + ... + 50500561105.

Almost surely, 2^{101001120211000} is an apocalyptic number.

101001120211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001120211000 is an abundant number, since it is smaller than the sum of its proper divisors (135341501085080).

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

101001120211000 is a wasteful number, since it uses less digits than its factorization.

101001120211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101001120232 (or 101001120218 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101001120211000 its reverse (112021100101), we get a palindrome (101113141311101).

The spelling of 101001120211000 in words is "one hundred one trillion, one billion, one hundred twenty million, two hundred eleven thousand".