10102102100121 has 8 divisors (see below), whose sum is σ = 13470061856704. Its totient is φ = 6734438538480.

The previous prime is 10102102100023. The next prime is 10102102100137. The reversal of 10102102100121 is 12100120120101.

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

It is not a de Polignac number, because 10102102100121 - 2¹⁴ = 10102102083737 is a prime.

It is a super-3 number, since 3×10102102100121³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102102100097 and 10102102100106.

It is not an unprimeable number, because it can be changed into a prime (10102102100521) 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, 73969141 + ... + 74105586.

It is an arithmetic number, because the mean of its divisors is an integer number (1683757732088).

Almost surely, 2^{10102102100121} is an apocalyptic number.

It is an amenable number.

10102102100121 is a deficient number, since it is larger than the sum of its proper divisors (3367959756583).

10102102100121 is a wasteful number, since it uses less digits than its factorization.

10102102100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148097471.

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

Adding to 10102102100121 its reverse (12100120120101), we get a palindrome (22202222220222).

The spelling of 10102102100121 in words is "ten trillion, one hundred two billion, one hundred two million, one hundred thousand, one hundred twenty-one".