20102121112101 has 16 divisors (see below), whose sum is σ = 30634794438144. Its totient is φ = 11485804785264.

The previous prime is 20102121112097. The next prime is 20102121112123. The reversal of 20102121112101 is 10121112120102.

It is a happy number.

It is not a de Polignac number, because 20102121112101 - 2² = 20102121112097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102121112301) 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, 46511631 + ... + 46941836.

It is an arithmetic number, because the mean of its divisors is an integer number (1914674652384).

Almost surely, 2^{20102121112101} is an apocalyptic number.

20102121112101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20102121112101 is a deficient number, since it is larger than the sum of its proper divisors (10532673326043).

20102121112101 is a wasteful number, since it uses less digits than its factorization.

20102121112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93463720.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 20102121112101 its reverse (10121112120102), we get a palindrome (30223233232203).

The spelling of 20102121112101 in words is "twenty trillion, one hundred two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred one".