101022121000 has 64 divisors (see below), whose sum is σ = 237897812880. Its totient is φ = 40151404800.

The previous prime is 101022120937. The next prime is 101022121009. The reversal of 101022121000 is 121220101.

It can be written as a sum of positive squares in 8 ways, for example, as 1808460676 + 99213660324 = 42526^2 + 314982^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101022121009) 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 15 ways as a sum of consecutive naturals, for example, 164727 + ... + 478726.

Almost surely, 2^101022121000 is an apocalyptic number.

101022121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022121000 is an abundant number, since it is smaller than the sum of its proper divisors (136875691880).

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

101022121000 is a wasteful number, since it uses less digits than its factorization.

101022121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643631 (or 643617 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101022121000 its reverse (121220101), we get a palindrome (101143341101).

It can be divided in two parts, 10 and 1022121000, that multiplied together give a square (10221210000 = 101100²).

The spelling of 101022121000 in words is "one hundred one billion, twenty-two million, one hundred twenty-one thousand".