101012000101221 has 32 divisors (see below), whose sum is σ = 154982402150400. Its totient is φ = 57876240458880.

The previous prime is 101012000101169. The next prime is 101012000101241. The reversal of 101012000101221 is 122101000210101.

It is not a de Polignac number, because 101012000101221 - 2⁷ = 101012000101093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101012000101197 and 101012000101206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012000101241) 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, 167866336 + ... + 168467001.

It is an arithmetic number, because the mean of its divisors is an integer number (4843200067200).

Almost surely, 2^{101012000101221} is an apocalyptic number.

101012000101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101012000101221 is a deficient number, since it is larger than the sum of its proper divisors (53970402049179).

101012000101221 is a wasteful number, since it uses less digits than its factorization.

101012000101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336333849.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101012000101221 its reverse (122101000210101), we get a palindrome (223113000311322).

The spelling of 101012000101221 in words is "one hundred one trillion, twelve billion, one hundred one thousand, two hundred twenty-one".