101212020000101 has 32 divisors (see below), whose sum is σ = 107389255680000. Its totient is φ = 95233595760000.

The previous prime is 101212020000079. The next prime is 101212020000137. The reversal of 101212020000101 is 101000020212101.

It is a cyclic number.

It is not a de Polignac number, because 101212020000101 - 2¹⁸ = 101212019737957 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 (101212020000601) 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, 455899676 + ... + 456121626.

It is an arithmetic number, because the mean of its divisors is an integer number (3355914240000).

Almost surely, 2^{101212020000101} is an apocalyptic number.

It is an amenable number.

101212020000101 is a deficient number, since it is larger than the sum of its proper divisors (6177235679899).

101212020000101 is a wasteful number, since it uses less digits than its factorization.

101212020000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223241.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101212020000101 its reverse (101000020212101), we get a palindrome (202212040212202).

The spelling of 101212020000101 in words is "one hundred one trillion, two hundred twelve billion, twenty million, one hundred one", and thus it is an aban number.