10100101029 has 8 divisors (see below), whose sum is σ = 13475863680. Its totient is φ = 6728869536.

The previous prime is 10100101001. The next prime is 10100101031. The reversal of 10100101029 is 92010100101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10100101029 - 2¹⁹ = 10099576741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100100999 and 10100101017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1127584 + ... + 1136505.

It is an arithmetic number, because the mean of its divisors is an integer number (1684482960).

Almost surely, 2^10100101029 is an apocalyptic number.

It is an amenable number.

10100101029 is a deficient number, since it is larger than the sum of its proper divisors (3375762651).

10100101029 is a wasteful number, since it uses less digits than its factorization.

10100101029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265579.

The product of its (nonzero) digits is 18, while the sum is 15.

The spelling of 10100101029 in words is "ten billion, one hundred million, one hundred one thousand, twenty-nine".