2100010101120 has 384 divisors, whose sum is σ = 7453068461280. Its totient is φ = 544466534400.

The previous prime is 2100010101103. The next prime is 2100010101127. The reversal of 2100010101120 is 211010100012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 (2100010101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385957600 + ... + 385963040.

Almost surely, 2^{2100010101120} is an apocalyptic number.

2100010101120 is a gapful number since it is divisible by the number (20) 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 2100010101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726534230640).

2100010101120 is an abundant number, since it is smaller than the sum of its proper divisors (5353058360160).

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

2100010101120 is a wasteful number, since it uses less digits than its factorization.

2100010101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7314 (or 7299 counting only the distinct ones).

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

Adding to 2100010101120 its reverse (211010100012), we get a palindrome (2311020201132).

The spelling of 2100010101120 in words is "two trillion, one hundred billion, ten million, one hundred one thousand, one hundred twenty".