101100011210121 has 32 divisors (see below), whose sum is σ = 168802719187968. Its totient is φ = 52288122939840.

The previous prime is 101100011210117. The next prime is 101100011210189. The reversal of 101100011210121 is 121012110001101.

It is not a de Polignac number, because 101100011210121 - 2² = 101100011210117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101100011210097 and 101100011210106.

It is not an unprimeable number, because it can be changed into a prime (101100011210921) 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, 963961630 + ... + 964066503.

It is an arithmetic number, because the mean of its divisors is an integer number (5275084974624).

Almost surely, 2^{101100011210121} is an apocalyptic number.

101100011210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100011210121 is a deficient number, since it is larger than the sum of its proper divisors (67702707977847).

101100011210121 is a wasteful number, since it uses less digits than its factorization.

101100011210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928028381.

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

Adding to 101100011210121 its reverse (121012110001101), we get a palindrome (222112121211222).

The spelling of 101100011210121 in words is "one hundred one trillion, one hundred billion, eleven million, two hundred ten thousand, one hundred twenty-one".