10202101102101 has 32 divisors (see below), whose sum is σ = 13944653323776. Its totient is φ = 6632536680000.

The previous prime is 10202101102093. The next prime is 10202101102129. The reversal of 10202101102101 is 10120110120201.

10202101102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10202101102101 - 2³ = 10202101102093 is a prime.

It is a super-2 number, since 2×10202101102101² (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 (10202101103101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146355666 + ... + 146425356.

It is an arithmetic number, because the mean of its divisors is an integer number (435770416368).

Almost surely, 2^{10202101102101} is an apocalyptic number.

It is an amenable number.

10202101102101 is a deficient number, since it is larger than the sum of its proper divisors (3742552221675).

10202101102101 is a wasteful number, since it uses less digits than its factorization.

10202101102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77073.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10202101102101 its reverse (10120110120201), we get a palindrome (20322211222302).

The spelling of 10202101102101 in words is "ten trillion, two hundred two billion, one hundred one million, one hundred two thousand, one hundred one".