101000211010200 has 288 divisors, whose sum is σ = 339820508532960. Its totient is φ = 26883539097600.

The previous prime is 101000211010141. The next prime is 101000211010207. The reversal of 101000211010200 is 2010112000101.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000211010207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4449925252 + ... + 4449947948.

It is an arithmetic number, because the mean of its divisors is an integer number (1179932321295).

Almost surely, 2^{101000211010200} is an apocalyptic number.

101000211010200 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 101000211010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169910254266480).

101000211010200 is an abundant number, since it is smaller than the sum of its proper divisors (238820297522760).

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

101000211010200 is a wasteful number, since it uses less digits than its factorization.

101000211010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27187 (or 27175 counting only the distinct ones).

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

Adding to 101000211010200 its reverse (2010112000101), we get a palindrome (103010323010301).

The spelling of 101000211010200 in words is "one hundred one trillion, two hundred eleven million, ten thousand, two hundred".