21101101029 has 24 divisors (see below), whose sum is σ = 32801340312. Its totient is φ = 13022853120.

The previous prime is 21101101027. The next prime is 21101101031. The reversal of 21101101029 is 92010110112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21101101027) and next prime (21101101031).

It can be written as a sum of positive squares in 4 ways, for example, as 508277025 + 20592824004 = 22545^2 + 143502^2 .

It is not a de Polignac number, because 21101101029 - 2¹ = 21101101027 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101101027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1121124 + ... + 1139789.

It is an arithmetic number, because the mean of its divisors is an integer number (1366722513).

Almost surely, 2^21101101029 is an apocalyptic number.

It is an amenable number.

21101101029 is a deficient number, since it is larger than the sum of its proper divisors (11700239283).

21101101029 is a wasteful number, since it uses less digits than its factorization.

21101101029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260997 (or 2260994 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 21101101029 in words is "twenty-one billion, one hundred one million, one hundred one thousand, twenty-nine".