101021102121 has 8 divisors (see below), whose sum is σ = 135447288480. Its totient is φ = 66971158592.

The previous prime is 101021102089. The next prime is 101021102131. The reversal of 101021102121 is 121201120101.

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 101021102121 - 2⁵ = 101021102089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101021102097 and 101021102106.

It is not an unprimeable number, because it can be changed into a prime (101021102131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94060080 + ... + 94061153.

It is an arithmetic number, because the mean of its divisors is an integer number (16930911060).

Almost surely, 2^101021102121 is an apocalyptic number.

It is an amenable number.

101021102121 is a deficient number, since it is larger than the sum of its proper divisors (34426186359).

101021102121 is a wasteful number, since it uses less digits than its factorization.

101021102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188121415.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101021102121 its reverse (121201120101), we get a palindrome (222222222222).

The spelling of 101021102121 in words is "one hundred one billion, twenty-one million, one hundred two thousand, one hundred twenty-one".