10102420011400 has 48 divisors (see below), whose sum is σ = 23588934045300. Its totient is φ = 4023624775680.

The previous prime is 10102420011389. The next prime is 10102420011427. The reversal of 10102420011400 is 411002420101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1722703500324 + 8379716511076 = 1312518^2 + 2894774^2 .

It is a super-2 number, since 2×10102420011400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108348465 + ... + 108441664.

Almost surely, 2^{10102420011400} is an apocalyptic number.

10102420011400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102420011400 is an abundant number, since it is smaller than the sum of its proper divisors (13486514033900).

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

10102420011400 is a wasteful number, since it uses less digits than its factorization.

10102420011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216790378 (or 216790369 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10102420011400 its reverse (411002420101), we get a palindrome (10513422431501).

The spelling of 10102420011400 in words is "ten trillion, one hundred two billion, four hundred twenty million, eleven thousand, four hundred".