101001121211000 has 64 divisors (see below), whose sum is σ = 237757849318080. Its totient is φ = 40158529564800.

The previous prime is 101001121210981. The next prime is 101001121211057. The reversal of 101001121211000 is 112121100101.

It is a super-2 number, since 2×101001121211000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302231567 + ... + 302565566.

It is an arithmetic number, because the mean of its divisors is an integer number (3714966395595).

Almost surely, 2^{101001121211000} is an apocalyptic number.

101001121211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001121211000 is an abundant number, since it is smaller than the sum of its proper divisors (136756728107080).

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

101001121211000 is a wasteful number, since it uses less digits than its factorization.

101001121211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604797321 (or 604797307 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101001121211000 its reverse (112121100101), we get a palindrome (101113242311101).

The spelling of 101001121211000 in words is "one hundred one trillion, one billion, one hundred twenty-one million, two hundred eleven thousand".