21121012101 has 32 divisors (see below), whose sum is σ = 33267613696. Its totient is φ = 11664000000.

The previous prime is 21121012049. The next prime is 21121012103. The reversal of 21121012101 is 10121012112.

It is not a de Polignac number, because 21121012101 - 2⁶ = 21121012037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121012103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467301 + ... + 510501.

It is an arithmetic number, because the mean of its divisors is an integer number (1039612928).

Almost surely, 2^21121012101 is an apocalyptic number.

21121012101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21121012101 is a deficient number, since it is larger than the sum of its proper divisors (12146601595).

21121012101 is a wasteful number, since it uses less digits than its factorization.

21121012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43993.

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

Adding to 21121012101 its reverse (10121012112), we get a palindrome (31242024213).

It can be divided in two parts, 2112 and 1012101, that multiplied together give a palindrome (2137557312).

The spelling of 21121012101 in words is "twenty-one billion, one hundred twenty-one million, twelve thousand, one hundred one".