101021211020101 has 32 divisors (see below), whose sum is σ = 108530014323456. Its totient is φ = 93697357824000.

The previous prime is 101021211020087. The next prime is 101021211020131. The reversal of 101021211020101 is 101020112120101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101021211020101 - 2⁵ = 101021211020069 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 (101021211020131) 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, 291955486 + ... + 292301296.

It is an arithmetic number, because the mean of its divisors is an integer number (3391562947608).

Almost surely, 2^{101021211020101} is an apocalyptic number.

It is an amenable number.

101021211020101 is a deficient number, since it is larger than the sum of its proper divisors (7508803303355).

101021211020101 is a wasteful number, since it uses less digits than its factorization.

101021211020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346813.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101021211020101 its reverse (101020112120101), we get a palindrome (202041323140202).

The spelling of 101021211020101 in words is "one hundred one trillion, twenty-one billion, two hundred eleven million, twenty thousand, one hundred one".