101101002010100 has 72 divisors (see below), whose sum is σ = 232296343254360. Its totient is φ = 38061238558720.

The previous prime is 101101002010091. The next prime is 101101002010109. The reversal of 101101002010100 is 1010200101101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101101002010091) and next prime (101101002010109).

It can be written as a sum of positive squares in 12 ways, for example, as 497614554724 + 100603387455376 = 705418^2 + 10030124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101002010109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360887282 + ... + 361167318.

It is an arithmetic number, because the mean of its divisors is an integer number (3226338100755).

Almost surely, 2^{101101002010100} is an apocalyptic number.

101101002010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101002010100 is an abundant number, since it is smaller than the sum of its proper divisors (131195341244260).

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

101101002010100 is a wasteful number, since it uses less digits than its factorization.

101101002010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492437 (or 492430 counting only the distinct ones).

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

Adding to 101101002010100 its reverse (1010200101101), we get a palindrome (102111202111201).

The spelling of 101101002010100 in words is "one hundred one trillion, one hundred one billion, two million, ten thousand, one hundred".