101003120100 has 108 divisors (see below), whose sum is σ = 328314253904. Its totient is φ = 26934158880.

The previous prime is 101003120093. The next prime is 101003120117. The reversal of 101003120100 is 1021300101.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2053954 + ... + 2102553.

Almost surely, 2^101003120100 is an apocalyptic number.

101003120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101003120100 is an abundant number, since it is smaller than the sum of its proper divisors (227311133804).

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

101003120100 is a wasteful number, since it uses less digits than its factorization.

101003120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156536 (or 4156517 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101003120100 its reverse (1021300101), we get a palindrome (102024420201).

The spelling of 101003120100 in words is "one hundred one billion, three million, one hundred twenty thousand, one hundred".