101102012121201 has 32 divisors (see below), whose sum is σ = 166115570439168. Its totient is φ = 53262777234240.

The previous prime is 101102012121191. The next prime is 101102012121269. The reversal of 101102012121201 is 102121210201101.

It is a happy number.

It is not a de Polignac number, because 101102012121201 - 2¹³ = 101102012113009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101102012121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228099831 + ... + 228542636.

It is an arithmetic number, because the mean of its divisors is an integer number (5191111576224).

Almost surely, 2^{101102012121201} is an apocalyptic number.

It is an amenable number.

101102012121201 is a deficient number, since it is larger than the sum of its proper divisors (65013558317967).

101102012121201 is a wasteful number, since it uses less digits than its factorization.

101102012121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456643301.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101102012121201 its reverse (102121210201101), we get a palindrome (203223222322302).

The spelling of 101102012121201 in words is "one hundred one trillion, one hundred two billion, twelve million, one hundred twenty-one thousand, two hundred one".