101213253100 has 72 divisors (see below), whose sum is σ = 221470200000. Its totient is φ = 40147291200.

The previous prime is 101213253091. The next prime is 101213253121. The reversal of 101213253100 is 1352312101.

It is a super-2 number, since 2×101213253100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13493151 + ... + 13500649.

It is an arithmetic number, because the mean of its divisors is an integer number (3075975000).

Almost surely, 2^101213253100 is an apocalyptic number.

101213253100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101213253100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110735100000).

101213253100 is an abundant number, since it is smaller than the sum of its proper divisors (120256946900).

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

101213253100 is a wasteful number, since it uses less digits than its factorization.

101213253100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8623 (or 8616 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 101213253100 its reverse (1352312101), we get a palindrome (102565565201).

The spelling of 101213253100 in words is "one hundred one billion, two hundred thirteen million, two hundred fifty-three thousand, one hundred".