10102100010101 has 8 divisors (see below), whose sum is σ = 11042557860000. Its totient is φ = 9165323013840.

The previous prime is 10102100010091. The next prime is 10102100010137. The reversal of 10102100010101 is 10101000120101.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102100010101 is a prime.

It is a super-2 number, since 2×10102100010101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102100010181) 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, 920207666 + ... + 920218643.

It is an arithmetic number, because the mean of its divisors is an integer number (1380319732500).

Almost surely, 2^{10102100010101} is an apocalyptic number.

10102100010101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102100010101 is a deficient number, since it is larger than the sum of its proper divisors (940457849899).

10102100010101 is a wasteful number, since it uses less digits than its factorization.

10102100010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840426819.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10102100010101 its reverse (10101000120101), we get a palindrome (20203100130202).

The spelling of 10102100010101 in words is "ten trillion, one hundred two billion, one hundred million, ten thousand, one hundred one".