100102101001000 has 64 divisors (see below), whose sum is σ = 267701618695680. Its totient is φ = 34320720340800.

The previous prime is 100102101000991. The next prime is 100102101001009. The reversal of 100102101001000 is 100101201001.

It is an interprime number because it is at equal distance from previous prime (100102101000991) and next prime (100102101001009).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (100102101001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7150143072 + ... + 7150157071.

It is an arithmetic number, because the mean of its divisors is an integer number (4182837792120).

Almost surely, 2^{100102101001000} is an apocalyptic number.

100102101001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102101001000 is an abundant number, since it is smaller than the sum of its proper divisors (167599517694680).

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

100102101001000 is a wasteful number, since it uses less digits than its factorization.

100102101001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14300300171 (or 14300300157 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100102101001000 its reverse (100101201001), we get a palindrome (100202202202001).

The spelling of 100102101001000 in words is "one hundred trillion, one hundred two billion, one hundred one million, one thousand".