102012033201101 has 16 divisors (see below), whose sum is σ = 103995900673920. Its totient is φ = 100030371604800.

The previous prime is 102012033201077. The next prime is 102012033201151. The reversal of 102012033201101 is 101102330210201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102012033201101 is a prime.

It is a super-2 number, since 2×102012033201101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102012033201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012033201151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671493251 + ... + 671645151.

It is an arithmetic number, because the mean of its divisors is an integer number (6499743792120).

Almost surely, 2^{102012033201101} is an apocalyptic number.

It is an amenable number.

102012033201101 is a deficient number, since it is larger than the sum of its proper divisors (1983867472819).

102012033201101 is a wasteful number, since it uses less digits than its factorization.

102012033201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159076.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102012033201101 its reverse (101102330210201), we get a palindrome (203114363411302).

The spelling of 102012033201101 in words is "one hundred two trillion, twelve billion, thirty-three million, two hundred one thousand, one hundred one".