102011211101 has 16 divisors (see below), whose sum is σ = 105970636800. Its totient is φ = 98081692800.

The previous prime is 102011211067. The next prime is 102011211167. The reversal of 102011211101 is 101112110201.

It is a cyclic number.

It is not a de Polignac number, because 102011211101 - 2¹⁸ = 102010948957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011211901) 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, 18242816 + ... + 18248406.

It is an arithmetic number, because the mean of its divisors is an integer number (6623164800).

Almost surely, 2^102011211101 is an apocalyptic number.

It is an amenable number.

102011211101 is a deficient number, since it is larger than the sum of its proper divisors (3959425699).

102011211101 is a wasteful number, since it uses less digits than its factorization.

102011211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8140.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102011211101 its reverse (101112110201), we get a palindrome (203123321302).

The spelling of 102011211101 in words is "one hundred two billion, eleven million, two hundred eleven thousand, one hundred one".