102121112001011 has 16 divisors (see below), whose sum is σ = 104062722236928. Its totient is φ = 100193596406400.

The previous prime is 102121112000981. The next prime is 102121112001043. The reversal of 102121112001011 is 110100211121201.

It is a cyclic number.

It is not a de Polignac number, because 102121112001011 - 2¹⁴ = 102121111984627 is a prime.

It is a super-3 number, since 3×102121112001011³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102121112001091) 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, 125780315 + ... + 126589611.

It is an arithmetic number, because the mean of its divisors is an integer number (6503920139808).

Almost surely, 2^{102121112001011} is an apocalyptic number.

102121112001011 is a deficient number, since it is larger than the sum of its proper divisors (1941610235917).

102121112001011 is an equidigital number, since it uses as much as digits as its factorization.

102121112001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818002.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102121112001011 its reverse (110100211121201), we get a palindrome (212221323122212).

The spelling of 102121112001011 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twelve million, one thousand, eleven".