10220210112101 has 6 divisors (see below), whose sum is σ = 11233784668806. Its totient is φ = 9291100101800.

The previous prime is 10220210112083. The next prime is 10220210112103. The reversal of 10220210112101 is 10121101202201.

It can be written as a sum of positive squares in only one way, i.e., 7058979451876 + 3161230660225 = 2656874^2 + 1777985^2 .

It is not a de Polignac number, because 10220210112101 - 2⁴² = 5822163600997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220210112103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42232273070 + ... + 42232273311.

It is an arithmetic number, because the mean of its divisors is an integer number (1872297444801).

Almost surely, 2^{10220210112101} is an apocalyptic number.

10220210112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220210112101 is a deficient number, since it is larger than the sum of its proper divisors (1013574556705).

10220210112101 is an equidigital number, since it uses as much as digits as its factorization.

10220210112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84464546403 (or 84464546392 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10220210112101 its reverse (10121101202201), we get a palindrome (20341311314302).

The spelling of 10220210112101 in words is "ten trillion, two hundred twenty billion, two hundred ten million, one hundred twelve thousand, one hundred one".