10201101102 has 48 divisors (see below), whose sum is σ = 23285442960. Its totient is φ = 3218662656.

The previous prime is 10201101091. The next prime is 10201101109. The reversal of 10201101102 is 20110110201.

It is a happy number.

It is a super-2 number, since 2×10201101102² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201101109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410998 + ... + 435110.

It is an arithmetic number, because the mean of its divisors is an integer number (485113395).

Almost surely, 2^10201101102 is an apocalyptic number.

10201101102 is an abundant number, since it is smaller than the sum of its proper divisors (13084341858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201101102 is a wasteful number, since it uses less digits than its factorization.

10201101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25377 (or 25374 counting only the distinct ones).

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

Adding to 10201101102 its reverse (20110110201), we get a palindrome (30311211303).

Subtracting 10201101102 from its reverse (20110110201), we obtain a palindrome (9909009099).

The spelling of 10201101102 in words is "ten billion, two hundred one million, one hundred one thousand, one hundred two".