102011212201101 has 64 divisors (see below), whose sum is σ = 163994473267200. Its totient is φ = 55100115677376.

The previous prime is 102011212201099. The next prime is 102011212201121. The reversal of 102011212201101 is 101102212110201.

It is a happy number.

It is not a de Polignac number, because 102011212201101 - 2¹ = 102011212201099 is a prime.

It is a super-2 number, since 2×102011212201101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011212201121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3843809490 + ... + 3843836028.

It is an arithmetic number, because the mean of its divisors is an integer number (2562413644800).

Almost surely, 2^{102011212201101} is an apocalyptic number.

It is an amenable number.

102011212201101 is a deficient number, since it is larger than the sum of its proper divisors (61983261066099).

102011212201101 is a wasteful number, since it uses less digits than its factorization.

102011212201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47838.

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

Adding to 102011212201101 its reverse (101102212110201), we get a palindrome (203113424311302).

The spelling of 102011212201101 in words is "one hundred two trillion, eleven billion, two hundred twelve million, two hundred one thousand, one hundred one".