101102121001 has 8 divisors (see below), whose sum is σ = 115808485760. Its totient is φ = 86461557408.

The previous prime is 101102120939. The next prime is 101102121007. The reversal of 101102121001 is 100121201101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102121001 is a prime.

It is a super-4 number, since 4×101102121001⁴ (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101102121007) 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, 16446996 + ... + 16453141.

It is an arithmetic number, because the mean of its divisors is an integer number (14476060720).

Almost surely, 2^101102121001 is an apocalyptic number.

It is an amenable number.

101102121001 is a deficient number, since it is larger than the sum of its proper divisors (14706364759).

101102121001 is an equidigital number, since it uses as much as digits as its factorization.

101102121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32900583.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101102121001 its reverse (100121201101), we get a palindrome (201223322102).

The spelling of 101102121001 in words is "one hundred one billion, one hundred two million, one hundred twenty-one thousand, one".