100102000211010 has 144 divisors (see below), whose sum is σ = 302783072357376. Its totient is φ = 22878522950976.

The previous prime is 100102000211009. The next prime is 100102000211041. The reversal of 100102000211010 is 10112000201001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 100102000210983 and 100102000211001.

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, 51538737 + ... + 53445723.

It is an arithmetic number, because the mean of its divisors is an integer number (2102660224704).

Almost surely, 2^{100102000211010} is an apocalyptic number.

100102000211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102000211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151391536178688).

100102000211010 is an abundant number, since it is smaller than the sum of its proper divisors (202681072146366).

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

100102000211010 is a wasteful number, since it uses less digits than its factorization.

100102000211010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918917 (or 1918907 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100102000211010 its reverse (10112000201001), we get a palindrome (110214000412011).

The spelling of 100102000211010 in words is "one hundred trillion, one hundred two billion, two hundred eleven thousand, ten".