21121012200101 has 32 divisors (see below), whose sum is σ = 23588080147200. Its totient is φ = 18750072844800.

The previous prime is 21121012200091. The next prime is 21121012200139. The reversal of 21121012200101 is 10100221012112.

It is a de Polignac number, because none of the positive numbers 2^k-21121012200101 is a prime.

It is a super-3 number, since 3×21121012200101³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121012200161) 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, 60849695 + ... + 61195811.

It is an arithmetic number, because the mean of its divisors is an integer number (737127504600).

Almost surely, 2^{21121012200101} is an apocalyptic number.

It is an amenable number.

21121012200101 is a deficient number, since it is larger than the sum of its proper divisors (2467067947099).

21121012200101 is a wasteful number, since it uses less digits than its factorization.

21121012200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346845.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21121012200101 its reverse (10100221012112), we get a palindrome (31221233212213).

The spelling of 21121012200101 in words is "twenty-one trillion, one hundred twenty-one billion, twelve million, two hundred thousand, one hundred one".