101221141122101 has 96 divisors (see below), whose sum is σ = 137866269542400. Its totient is φ = 72312201244800.

The previous prime is 101221141122097. The next prime is 101221141122131.

101221141122101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101221141122101 - 2² = 101221141122097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221141122131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1653612386 + ... + 1653673596.

It is an arithmetic number, because the mean of its divisors is an integer number (1436106974400).

Almost surely, 2^{101221141122101} is an apocalyptic number.

101221141122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221141122101 is a deficient number, since it is larger than the sum of its proper divisors (36645128420299).

101221141122101 is a wasteful number, since it uses less digits than its factorization.

101221141122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62271 (or 62260 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

The spelling of 101221141122101 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred forty-one million, one hundred twenty-two thousand, one hundred one".