10100202101 has 16 divisors (see below), whose sum is σ = 11486486016. Its totient is φ = 8797800000.

The previous prime is 10100202097. The next prime is 10100202121. The reversal of 10100202101 is 10120200101.

It is not a de Polignac number, because 10100202101 - 2² = 10100202097 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 (10100202121) 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, 112190 + ... + 181071.

It is an arithmetic number, because the mean of its divisors is an integer number (717905376).

Almost surely, 2^10100202101 is an apocalyptic number.

10100202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100202101 is a deficient number, since it is larger than the sum of its proper divisors (1386283915).

10100202101 is a wasteful number, since it uses less digits than its factorization.

10100202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293404.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100202101 its reverse (10120200101), we get a palindrome (20220402202).

The spelling of 10100202101 in words is "ten billion, one hundred million, two hundred two thousand, one hundred one".