1011020110100 has 432 divisors, whose sum is σ = 2997705717888. Its totient is φ = 287971200000.

The previous prime is 1011020110081. The next prime is 1011020110103. The reversal of 1011020110100 is 10110201101.

It is a happy number.

It is a super-2 number, since 2×1011020110100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011020110103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111206555 + ... + 111215645.

Almost surely, 2^{1011020110100} is an apocalyptic number.

1011020110100 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 1011020110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498852858944).

1011020110100 is an abundant number, since it is smaller than the sum of its proper divisors (1986685607788).

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

1011020110100 is a wasteful number, since it uses less digits than its factorization.

1011020110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9248 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1011020110100 its reverse (10110201101), we get a palindrome (1021130311201).

1011020110100 divided by its reverse (10110201101) gives a square (100 = 10²).

It can be divided in two parts, 101 and 1020110100, that added together give a palindrome (1020110201).

The spelling of 1011020110100 in words is "one trillion, eleven billion, twenty million, one hundred ten thousand, one hundred".