102031211101000 has 128 divisors (see below), whose sum is σ = 240698968473600. Its totient is φ = 40480022419200.

The previous prime is 102031211100961. The next prime is 102031211101009. The reversal of 102031211101000 is 101112130201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102031211101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470934697 + ... + 471151303.

It is an arithmetic number, because the mean of its divisors is an integer number (1880460691200).

Almost surely, 2^{102031211101000} is an apocalyptic number.

102031211101000 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 102031211101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120349484236800).

102031211101000 is an abundant number, since it is smaller than the sum of its proper divisors (138667757372600).

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

102031211101000 is a wasteful number, since it uses less digits than its factorization.

102031211101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220464 (or 220450 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 102031211101000 its reverse (101112130201), we get a palindrome (102132323231201).

The spelling of 102031211101000 in words is "one hundred two trillion, thirty-one billion, two hundred eleven million, one hundred one thousand".