101121011000 has 32 divisors (see below), whose sum is σ = 236623168080. Its totient is φ = 40448404000.

The previous prime is 101121010997. The next prime is 101121011009. The reversal of 101121011000 is 110121101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121011009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 50559506 + ... + 50561505.

Almost surely, 2^101121011000 is an apocalyptic number.

101121011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121011000 is an abundant number, since it is smaller than the sum of its proper divisors (135502157080).

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

101121011000 is a wasteful number, since it uses less digits than its factorization.

101121011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101121032 (or 101121018 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101121011000 its reverse (110121101), we get a palindrome (101231132101).

The spelling of 101121011000 in words is "one hundred one billion, one hundred twenty-one million, eleven thousand".