101100002121 has 16 divisors (see below), whose sum is σ = 154609323520. Its totient is φ = 65225807280.

The previous prime is 101100002119. The next prime is 101100002123. The reversal of 101100002121 is 121200001101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101100002119) and next prime (101100002123).

It is not a de Polignac number, because 101100002121 - 2¹ = 101100002119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100002123) 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, 60393430 + ... + 60395103.

It is an arithmetic number, because the mean of its divisors is an integer number (9663082720).

Almost surely, 2^101100002121 is an apocalyptic number.

It is an amenable number.

101100002121 is a deficient number, since it is larger than the sum of its proper divisors (53509321399).

101100002121 is a wasteful number, since it uses less digits than its factorization.

101100002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120788573 (or 120788567 counting only the distinct ones).

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

Adding to 101100002121 its reverse (121200001101), we get a palindrome (222300003222).

The spelling of 101100002121 in words is "one hundred one billion, one hundred million, two thousand, one hundred twenty-one".