101121000210 has 160 divisors (see below), whose sum is σ = 288132934320. Its totient is φ = 25358635008.

The previous prime is 101121000209. The next prime is 101121000217. The reversal of 101121000210 is 12000121101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 43121429649 + 57999570561 = 207657^2 + 240831^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101121000192 and 101121000201.

It is not an unprimeable number, because it can be changed into a prime (101121000217) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23530782 + ... + 23535078.

Almost surely, 2^101121000210 is an apocalyptic number.

101121000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101121000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144066467160).

101121000210 is an abundant number, since it is smaller than the sum of its proper divisors (187011934110).

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

101121000210 is a wasteful number, since it uses less digits than its factorization.

101121000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6042 (or 6033 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101121000210 its reverse (12000121101), we get a palindrome (113121121311).

The spelling of 101121000210 in words is "one hundred one billion, one hundred twenty-one million, two hundred ten", and thus it is an aban number.