20101101002121 has 8 divisors (see below), whose sum is σ = 26804253188160. Its totient is φ = 13399341408752.

The previous prime is 20101101002111. The next prime is 20101101002149. The reversal of 20101101002121 is 12120010110102.

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 20101101002121 - 2⁶ = 20101101002057 is a prime.

It is a super-2 number, since 2×20101101002121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20101101002097 and 20101101002106.

It is not an unprimeable number, because it can be changed into a prime (20101101002111) 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, 348114486 + ... + 348172223.

It is an arithmetic number, because the mean of its divisors is an integer number (3350531648520).

Almost surely, 2^{20101101002121} is an apocalyptic number.

It is an amenable number.

20101101002121 is a deficient number, since it is larger than the sum of its proper divisors (6703152186039).

20101101002121 is an equidigital number, since it uses as much as digits as its factorization.

20101101002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696296335.

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

Adding to 20101101002121 its reverse (12120010110102), we get a palindrome (32221111112223).

The spelling of 20101101002121 in words is "twenty trillion, one hundred one billion, one hundred one million, two thousand, one hundred twenty-one".