10210100102101 has 8 divisors (see below), whose sum is σ = 10810801945944. Its totient is φ = 9609410227200.

The previous prime is 10210100102093. The next prime is 10210100102113. The reversal of 10210100102101 is 10120100101201.

10210100102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1612150787025 + 8597949315076 = 1269705^2 + 2932226^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10210100102101 - 2³ = 10210100102093 is a prime.

It is a super-2 number, since 2×10210100102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210100102131) 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, 1205460 + ... + 4676893.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350243243).

Almost surely, 2^{10210100102101} is an apocalyptic number.

It is an amenable number.

10210100102101 is a deficient number, since it is larger than the sum of its proper divisors (600701843843).

10210100102101 is a wasteful number, since it uses less digits than its factorization.

10210100102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5984471.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10210100102101 its reverse (10120100101201), we get a palindrome (20330200203302).

It can be divided in two parts, 10210100 and 102101, that multiplied together give a square (1042461420100 = 1021010²).

The spelling of 10210100102101 in words is "ten trillion, two hundred ten billion, one hundred million, one hundred two thousand, one hundred one".