2101061400 has 192 divisors, whose sum is σ = 6719569920. Its totient is φ = 542745600.

The previous prime is 2101061393. The next prime is 2101061429. The reversal of 2101061400 is 41601012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2101061400.

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, 5485609 + ... + 5485991.

It is an arithmetic number, because the mean of its divisors is an integer number (34997760).

Almost surely, 2^2101061400 is an apocalyptic number.

2101061400 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 2101061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359784960).

2101061400 is an abundant number, since it is smaller than the sum of its proper divisors (4618508520).

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

2101061400 is a wasteful number, since it uses less digits than its factorization.

2101061400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2101061400 is about 45837.3363100431. The cubic root of 2101061400 is about 1280.7948757488.

Adding to 2101061400 its reverse (41601012), we get a palindrome (2142662412).

The spelling of 2101061400 in words is "two billion, one hundred one million, sixty-one thousand, four hundred".