102100212100121 has 16 divisors (see below), whose sum is σ = 106877331546624. Its totient is φ = 97351268566464.

The previous prime is 102100212100093. The next prime is 102100212100127. The reversal of 102100212100121 is 121001212001201.

It is a cyclic number.

It is not a de Polignac number, because 102100212100121 - 2⁶ = 102100212100057 is a prime.

It is a super-3 number, since 3×102100212100121³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100212100096 and 102100212100105.

It is not an unprimeable number, because it can be changed into a prime (102100212100127) 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, 633047936 + ... + 633209198.

It is an arithmetic number, because the mean of its divisors is an integer number (6679833221664).

Almost surely, 2^{102100212100121} is an apocalyptic number.

It is an amenable number.

102100212100121 is a deficient number, since it is larger than the sum of its proper divisors (4777119446503).

102100212100121 is a wasteful number, since it uses less digits than its factorization.

102100212100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248440.

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

Adding to 102100212100121 its reverse (121001212001201), we get a palindrome (223101424101322).

The spelling of 102100212100121 in words is "one hundred two trillion, one hundred billion, two hundred twelve million, one hundred thousand, one hundred twenty-one".