10102201101 has 12 divisors (see below), whose sum is σ = 14607489312. Its totient is φ = 6727683336.

The previous prime is 10102201079. The next prime is 10102201117. The reversal of 10102201101 is 10110220101.

It is a happy number.

It is not a de Polignac number, because 10102201101 - 2⁶ = 10102201037 is a prime.

It is a super-2 number, since 2×10102201101² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102201201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 584121 + ... + 601166.

It is an arithmetic number, because the mean of its divisors is an integer number (1217290776).

Almost surely, 2^10102201101 is an apocalyptic number.

It is an amenable number.

10102201101 is a deficient number, since it is larger than the sum of its proper divisors (4505288211).

10102201101 is a wasteful number, since it uses less digits than its factorization.

10102201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186240 (or 1186237 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10102201101 its reverse (10110220101), we get a palindrome (20212421202).

The spelling of 10102201101 in words is "ten billion, one hundred two million, two hundred one thousand, one hundred one".