101032213031100 has 216 divisors, whose sum is σ = 341066358137232. Its totient is φ = 24867534643200.

The previous prime is 101032213031081. The next prime is 101032213031171. The reversal of 101032213031100 is 1130312230101.

101032213031100 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 322 + 1 + 30 + 311 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153186639 + ... + 153844761.

It is an arithmetic number, because the mean of its divisors is an integer number (1579010917302).

Almost surely, 2^{101032213031100} is an apocalyptic number.

101032213031100 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 101032213031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170533179068616).

101032213031100 is an abundant number, since it is smaller than the sum of its proper divisors (240034145106132).

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

101032213031100 is a wasteful number, since it uses less digits than its factorization.

101032213031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671277 (or 671267 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101032213031100 its reverse (1130312230101), we get a palindrome (102162525261201).

The spelling of 101032213031100 in words is "one hundred one trillion, thirty-two billion, two hundred thirteen million, thirty-one thousand, one hundred".