100201021121010 has 64 divisors (see below), whose sum is σ = 245549057776128. Its totient is φ = 26159493744384.

The previous prime is 100201021120951. The next prime is 100201021121029. The reversal of 100201021121010 is 10121120102001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67319457 + ... + 68791796.

It is an arithmetic number, because the mean of its divisors is an integer number (3836704027752).

Almost surely, 2^{100201021121010} is an apocalyptic number.

100201021121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201021121010 is an abundant number, since it is smaller than the sum of its proper divisors (145348036655118).

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

100201021121010 is a wasteful number, since it uses less digits than its factorization.

100201021121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136111779.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100201021121010 its reverse (10121120102001), we get a palindrome (110322141223011).

The spelling of 100201021121010 in words is "one hundred trillion, two hundred one billion, twenty-one million, one hundred twenty-one thousand, ten".