1010123100 has 216 divisors, whose sum is σ = 3639767040. Its totient is φ = 229530240.

The previous prime is 1010123071. The next prime is 1010123113. The reversal of 1010123100 is 13210101.

It is a super-3 number, since 3×1010123100³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1404541 + ... + 1405259.

Almost surely, 2^1010123100 is an apocalyptic number.

1010123100 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 1010123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819883520).

1010123100 is an abundant number, since it is smaller than the sum of its proper divisors (2629643940).

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

1010123100 is a wasteful number, since it uses less digits than its factorization.

1010123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1010123100 is about 31782.4338275092. The cubic root of 1010123100 is about 1003.3630439235.

Adding to 1010123100 its reverse (13210101), we get a palindrome (1023333201).

The spelling of 1010123100 in words is "one billion, ten million, one hundred twenty-three thousand, one hundred".