10121100010 has 64 divisors (see below), whose sum is σ = 21167308800. Its totient is φ = 3412648512.

The previous prime is 10121099999. The next prime is 10121100019. The reversal of 10121100010 is 1000112101.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10121099966 and 10121100002.

It is not an unprimeable number, because it can be changed into a prime (10121100019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1450911 + ... + 1457869.

It is an arithmetic number, because the mean of its divisors is an integer number (330739200).

Almost surely, 2^10121100010 is an apocalyptic number.

10121100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10121100010 is an abundant number, since it is smaller than the sum of its proper divisors (11046208790).

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

10121100010 is a wasteful number, since it uses less digits than its factorization.

10121100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7315.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10121100010 its reverse (1000112101), we get a palindrome (11121212111).

The spelling of 10121100010 in words is "ten billion, one hundred twenty-one million, one hundred thousand, ten".