10000101102 has 16 divisors (see below), whose sum is σ = 20198225232. Its totient is φ = 3300363200.

The previous prime is 10000101091. The next prime is 10000101103. The reversal of 10000101102 is 20110100001.

It is a super-2 number, since 2×10000101102² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000101103) 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, 8250303 + ... + 8251514.

It is an arithmetic number, because the mean of its divisors is an integer number (1262389077).

Almost surely, 2^10000101102 is an apocalyptic number.

10000101102 is an abundant number, since it is smaller than the sum of its proper divisors (10198124130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10000101102 is a wasteful number, since it uses less digits than its factorization.

10000101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16501923.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10000101102 its reverse (20110100001), we get a palindrome (30110201103).

The spelling of 10000101102 in words is "ten billion, one hundred one thousand, one hundred two".