10100211111100 has 144 divisors (see below), whose sum is σ = 24130574044416. Its totient is φ = 3669297508800.

The previous prime is 10100211111077. The next prime is 10100211111149. The reversal of 10100211111100 is 111111200101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141449607 + ... + 141520993.

It is an arithmetic number, because the mean of its divisors is an integer number (167573430864).

Almost surely, 2^{10100211111100} is an apocalyptic number.

10100211111100 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 10100211111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065287022208).

10100211111100 is an abundant number, since it is smaller than the sum of its proper divisors (14030362933316).

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

10100211111100 is a wasteful number, since it uses less digits than its factorization.

10100211111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72497 (or 72468 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10100211111100 its reverse (111111200101), we get a palindrome (10211322311201).

The spelling of 10100211111100 in words is "ten trillion, one hundred billion, two hundred eleven million, one hundred eleven thousand, one hundred".