10120210101001 has 16 divisors (see below), whose sum is σ = 13587974402688. Its totient is φ = 7279272000000.

The previous prime is 10120210100999. The next prime is 10120210101007. The reversal of 10120210101001 is 10010101202101.

It is not a de Polignac number, because 10120210101001 - 2¹ = 10120210100999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10120210101007) 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 15 ways as a sum of consecutive naturals, for example, 5055049000 + ... + 5055051001.

It is an arithmetic number, because the mean of its divisors is an integer number (849248400168).

Almost surely, 2^{10120210101001} is an apocalyptic number.

10120210101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120210101001 is a deficient number, since it is larger than the sum of its proper divisors (3467764301687).

10120210101001 is a wasteful number, since it uses less digits than its factorization.

10120210101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110100032.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10120210101001 its reverse (10010101202101), we get a palindrome (20130311303102).

The spelling of 10120210101001 in words is "ten trillion, one hundred twenty billion, two hundred ten million, one hundred one thousand, one".