101202121100 has 72 divisors (see below), whose sum is σ = 224889772800. Its totient is φ = 39508822080.

The previous prime is 101202121091. The next prime is 101202121109. The reversal of 101202121100 is 1121202101.

101202121100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101202121091) and next prime (101202121109).

It is not an unprimeable number, because it can be changed into a prime (101202121109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6007289 + ... + 6024111.

Almost surely, 2^101202121100 is an apocalyptic number.

101202121100 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 101202121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112444886400).

101202121100 is an abundant number, since it is smaller than the sum of its proper divisors (123687651700).

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

101202121100 is a wasteful number, since it uses less digits than its factorization.

101202121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18279 (or 18272 counting only the distinct ones).

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

Adding to 101202121100 its reverse (1121202101), we get a palindrome (102323323201).

The spelling of 101202121100 in words is "one hundred one billion, two hundred two million, one hundred twenty-one thousand, one hundred".