101220111021101 has 8 divisors (see below), whose sum is σ = 102117093245304. Its totient is φ = 100323150359040.

The previous prime is 101220111021097. The next prime is 101220111021103. The reversal of 101220111021101 is 101120111022101.

It can be written as a sum of positive squares in 4 ways, for example, as 7981195660201 + 93238915360900 = 2825101^2 + 9656030^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101220111021101 - 2² = 101220111021097 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 (101220111021103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4113671 + ... + 14810891.

It is an arithmetic number, because the mean of its divisors is an integer number (12764636655663).

Almost surely, 2^{101220111021101} is an apocalyptic number.

It is an amenable number.

101220111021101 is a deficient number, since it is larger than the sum of its proper divisors (896982224203).

101220111021101 is a wasteful number, since it uses less digits than its factorization.

101220111021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10781071.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101220111021101 its reverse (101120111022101), we get a palindrome (202340222043202).

The spelling of 101220111021101 in words is "one hundred one trillion, two hundred twenty billion, one hundred eleven million, twenty-one thousand, one hundred one".