10101222121101 has 16 divisors (see below), whose sum is σ = 13842408321600. Its totient is φ = 6552143979984.

The previous prime is 10101222121097. The next prime is 10101222121117. The reversal of 10101222121101 is 10112122210101.

It is a happy number.

It is not a de Polignac number, because 10101222121101 - 2² = 10101222121097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101222161101) 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, 33084711 + ... + 33388628.

It is an arithmetic number, because the mean of its divisors is an integer number (865150520100).

Almost surely, 2^{10101222121101} is an apocalyptic number.

It is an amenable number.

10101222121101 is a deficient number, since it is larger than the sum of its proper divisors (3741186200499).

10101222121101 is an frugal number, since it uses more digits than its factorization.

10101222121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66473453 (or 66473379 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10101222121101 its reverse (10112122210101), we get a palindrome (20213344331202).

The spelling of 10101222121101 in words is "ten trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred one".