101021120101 has 8 divisors (see below), whose sum is σ = 110248293600. Its totient is φ = 91801185840.

The previous prime is 101021120077. The next prime is 101021120113.

101021120101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101021120101 - 2⁷ = 101021119973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021120801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1780606 + ... + 1836463.

It is an arithmetic number, because the mean of its divisors is an integer number (13781036700).

Almost surely, 2^101021120101 is an apocalyptic number.

101021120101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101021120101 is a deficient number, since it is larger than the sum of its proper divisors (9227173499).

101021120101 is a wasteful number, since it uses less digits than its factorization.

101021120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3619619.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 101021 and 120101, that multiplied together give a palindrome (12132723121).

The spelling of 101021120101 in words is "one hundred one billion, twenty-one million, one hundred twenty thousand, one hundred one".