102101112101 has 8 divisors (see below), whose sum is σ = 106600288704. Its totient is φ = 97606935360.

The previous prime is 102101112097. The next prime is 102101112119. The reversal of 102101112101 is 101211101201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102101112101 - 2² = 102101112097 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 (102101112151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1208195 + ... + 1289936.

It is an arithmetic number, because the mean of its divisors is an integer number (13325036088).

Almost surely, 2^102101112101 is an apocalyptic number.

It is an amenable number.

102101112101 is a deficient number, since it is larger than the sum of its proper divisors (4499176603).

102101112101 is a wasteful number, since it uses less digits than its factorization.

102101112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499931.

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

Adding to 102101112101 its reverse (101211101201), we get a palindrome (203312213302).

The spelling of 102101112101 in words is "one hundred two billion, one hundred one million, one hundred twelve thousand, one hundred one".