101102121201101 has 16 divisors (see below), whose sum is σ = 102195578325120. Its totient is φ = 100010506939200.

The previous prime is 101102121201049. The next prime is 101102121201149.

101102121201101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101102121201101 - 2¹⁸ = 101102120938957 is a prime.

It is a super-2 number, since 2×101102121201101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102121201161) 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, 698325146 + ... + 698469908.

It is an arithmetic number, because the mean of its divisors is an integer number (6387223645320).

Almost surely, 2^{101102121201101} is an apocalyptic number.

It is an amenable number.

101102121201101 is a deficient number, since it is larger than the sum of its proper divisors (1093457124019).

101102121201101 is a wasteful number, since it uses less digits than its factorization.

101102121201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151076.

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

The spelling of 101102121201101 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-one million, two hundred one thousand, one hundred one".