10120001221010 has 16 divisors (see below), whose sum is σ = 18219564973656. Its totient is φ = 4047208760448.

The previous prime is 10120001221003. The next prime is 10120001221013. The reversal of 10120001221010 is 1012210002101.

10120001221010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4254454892689 + 5865546328321 = 2062633^2 + 2421889^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10120001220982 and 10120001221000.

It is not an unprimeable number, because it can be changed into a prime (10120001221013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98912309 + ... + 99014568.

Almost surely, 2^{10120001221010} is an apocalyptic number.

10120001221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120001221010 is a deficient number, since it is larger than the sum of its proper divisors (8099563752646).

10120001221010 is a wasteful number, since it uses less digits than its factorization.

10120001221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197931997.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10120001221010 its reverse (1012210002101), we get a palindrome (11132211223111).

The spelling of 10120001221010 in words is "ten trillion, one hundred twenty billion, one million, two hundred twenty-one thousand, ten".