10220101122101 has 16 divisors (see below), whose sum is σ = 11057578878528. Its totient is φ = 9390005040000.

The previous prime is 10220101122071. The next prime is 10220101122113. The reversal of 10220101122101 is 10122110102201.

It is not a de Polignac number, because 10220101122101 - 2¹⁰ = 10220101121077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220101122131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3775070 + ... + 5889936.

It is an arithmetic number, because the mean of its divisors is an integer number (691098679908).

Almost surely, 2^{10220101122101} is an apocalyptic number.

It is an amenable number.

10220101122101 is a deficient number, since it is larger than the sum of its proper divisors (837477756427).

10220101122101 is a wasteful number, since it uses less digits than its factorization.

10220101122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116612.

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

Adding to 10220101122101 its reverse (10122110102201), we get a palindrome (20342211224302).

The spelling of 10220101122101 in words is "ten trillion, two hundred twenty billion, one hundred one million, one hundred twenty-two thousand, one hundred one".