101011100102121 has 32 divisors (see below), whose sum is σ = 147016665100800. Its totient is φ = 61180765188480.

The previous prime is 101011100102027. The next prime is 101011100102137. The reversal of 101011100102121 is 121201001110101.

It is not a de Polignac number, because 101011100102121 - 2¹⁸ = 101011099839977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011100102097 and 101011100102106.

It is not an unprimeable number, because it can be changed into a prime (101011100102321) 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, 347379090 + ... + 347669748.

It is an arithmetic number, because the mean of its divisors is an integer number (4594270784400).

Almost surely, 2^{101011100102121} is an apocalyptic number.

101011100102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101011100102121 is a deficient number, since it is larger than the sum of its proper divisors (46005564998679).

101011100102121 is a wasteful number, since it uses less digits than its factorization.

101011100102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297189.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101011100102121 its reverse (121201001110101), we get a palindrome (222212101212222).

The spelling of 101011100102121 in words is "one hundred one trillion, eleven billion, one hundred million, one hundred two thousand, one hundred twenty-one".