101121020208 has 300 divisors, whose sum is σ = 320209646640. Its totient is φ = 29733530112.

The previous prime is 101121020207. The next prime is 101121020249. The reversal of 101121020208 is 802020121101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101121020201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 94593498 + ... + 94594566.

Almost surely, 2^101121020208 is an apocalyptic number.

101121020208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101121020208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160104823320).

101121020208 is an abundant number, since it is smaller than the sum of its proper divisors (219088626432).

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

101121020208 is a wasteful number, since it uses less digits than its factorization.

101121020208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101121020208 its reverse (802020121101), we get a palindrome (903141141309).

The spelling of 101121020208 in words is "one hundred one billion, one hundred twenty-one million, twenty thousand, two hundred eight".