102121211000101 has 16 divisors (see below), whose sum is σ = 106151492079360. Its totient is φ = 98124925993920.

The previous prime is 102121211000041. The next prime is 102121211000113. The reversal of 102121211000101 is 101000112121201.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102121211000101 is a prime.

It is a super-2 number, since 2×102121211000101² (a number of 29 digits) contains 22 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 (102121211000191) 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, 79540411 + ... + 80814103.

It is an arithmetic number, because the mean of its divisors is an integer number (6634468254960).

Almost surely, 2^{102121211000101} is an apocalyptic number.

It is an amenable number.

102121211000101 is a deficient number, since it is larger than the sum of its proper divisors (4030281079259).

102121211000101 is a wasteful number, since it uses less digits than its factorization.

102121211000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287036.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102121211000101 its reverse (101000112121201), we get a palindrome (203121323121302).

The spelling of 102121211000101 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred eleven million, one hundred one", and thus it is an aban number.