10012100010010 has 16 divisors (see below), whose sum is σ = 20596320020736. Its totient is φ = 3432720003408.

The previous prime is 10012100009993. The next prime is 10012100010019. The reversal of 10012100010010 is 1001000121001.

It is a super-2 number, since 2×10012100010010² (a number of 27 digits) contains 22 as substring.

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 = 10012100009975 and 10012100010002.

It is not an unprimeable number, because it can be changed into a prime (10012100010019) 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 7 ways as a sum of consecutive naturals, for example, 71515000002 + ... + 71515000141.

It is an arithmetic number, because the mean of its divisors is an integer number (1287270001296).

Almost surely, 2^{10012100010010} is an apocalyptic number.

10012100010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10012100010010 is an abundant number, since it is smaller than the sum of its proper divisors (10584220010726).

10012100010010 is a wasteful number, since it uses less digits than its factorization.

10012100010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143030000157.

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

Adding to 10012100010010 its reverse (1001000121001), we get a palindrome (11013100131011).

The spelling of 10012100010010 in words is "ten trillion, twelve billion, one hundred million, ten thousand, ten".