10220212211001 has 64 divisors (see below), whose sum is σ = 15522988056576. Its totient is φ = 5936137228800.

The previous prime is 10220212210981. The next prime is 10220212211003. The reversal of 10220212211001 is 10011221202201.

It is not a de Polignac number, because 10220212211001 - 2⁵ = 10220212210969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10220212211003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163893510 + ... + 163955856.

It is an arithmetic number, because the mean of its divisors is an integer number (242546688384).

Almost surely, 2^{10220212211001} is an apocalyptic number.

It is an amenable number.

10220212211001 is a deficient number, since it is larger than the sum of its proper divisors (5302775845575).

10220212211001 is a wasteful number, since it uses less digits than its factorization.

10220212211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65742.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10220212211001 its reverse (10011221202201), we get a palindrome (20231433413202).

It can be divided in two parts, 102202 and 12211001, that added together give a triangular number (12313203 = T₄₉₆₂).

The spelling of 10220212211001 in words is "ten trillion, two hundred twenty billion, two hundred twelve million, two hundred eleven thousand, one".