100020110100102 has 32 divisors (see below), whose sum is σ = 233965169827200. Its totient is φ = 31585297926024.

The previous prime is 100020110100101. The next prime is 100020110100107. The reversal of 100020110100102 is 201001011020001.

It is a happy number.

It is a super-4 number, since 4×100020110100102⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020110100101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48742742688 + ... + 48742744739.

It is an arithmetic number, because the mean of its divisors is an integer number (7311411557100).

Almost surely, 2^{100020110100102} is an apocalyptic number.

100020110100102 is an abundant number, since it is smaller than the sum of its proper divisors (133945059727098).

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

100020110100102 is a wasteful number, since it uses less digits than its factorization.

100020110100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97485487457 (or 97485487451 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100020110100102 its reverse (201001011020001), we get a palindrome (301021121120103).

It can be divided in two parts, 1000 and 20110100102, that added together give a palindrome (20110101102).

The spelling of 100020110100102 in words is "one hundred trillion, twenty billion, one hundred ten million, one hundred thousand, one hundred two".