101021200101200 has 60 divisors (see below), whose sum is σ = 243605676748860. Its totient is φ = 40258262599680.

The previous prime is 101021200101197. The next prime is 101021200101233. The reversal of 101021200101200 is 2101002120101.

It can be written as a sum of positive squares in 6 ways, for example, as 37520574163216 + 63500625937984 = 6125404^2 + 7968728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469321769 + ... + 469536968.

It is an arithmetic number, because the mean of its divisors is an integer number (4060094612481).

Almost surely, 2^{101021200101200} is an apocalyptic number.

101021200101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021200101200 is an abundant number, since it is smaller than the sum of its proper divisors (142584476647660).

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

101021200101200 is a wasteful number, since it uses less digits than its factorization.

101021200101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938859024 (or 938859013 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101021200101200 its reverse (2101002120101), we get a palindrome (103122202221301).

The spelling of 101021200101200 in words is "one hundred one trillion, twenty-one billion, two hundred million, one hundred one thousand, two hundred".