101221100029 has 16 divisors (see below), whose sum is σ = 117433950208. Its totient is φ = 85446999792.

The previous prime is 101221100027. The next prime is 101221100041. The reversal of 101221100029 is 920001122101.

It is a happy number.

It is not a de Polignac number, because 101221100029 - 2¹ = 101221100027 is a prime.

It is a super-2 number, since 2×101221100029² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101221099979 and 101221100015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221100027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2334304 + ... + 2377270.

It is an arithmetic number, because the mean of its divisors is an integer number (7339621888).

Almost surely, 2^101221100029 is an apocalyptic number.

It is an amenable number.

101221100029 is a deficient number, since it is larger than the sum of its proper divisors (16212850179).

101221100029 is an equidigital number, since it uses as much as digits as its factorization.

101221100029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48064.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 101221100029 in words is "one hundred one billion, two hundred twenty-one million, one hundred thousand, twenty-nine".